8000 (number)

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|

Natural number

| <- 7999  | 8000 |  8001 ->

|
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* List of numbers
* Integers

← 0 1k 2k 3k 4k 5k 6k 7k 8k 9k →

Cardinal| eight thousand
Ordinal| 8000th
(eight thousandth)
Factorization| 26 × 53
Greek numeral| ,Η´
Roman numeral| VMMM, or VIII
Unicode symbol(s)| VMMM, vmmm, VIII, viii
Binary| 11111010000002
Ternary| 1012220223
Senary| 1010126
Octal| 175008
Duodecimal| 476812
Hexadecimal| 1F4016
Armenian| Փ

8000 (eight thousand) is the natural number following 7999 and preceding 8001.

8000 is the cube of 20, as well as the sum of four consecutive integers cubed, 113 \+ 123 \+ 133 \+ 143.

The fourteen tallest mountains on Earth, which exceed 8000 meters in height, are sometimes referred to as eight-thousanders.[1]

## Selected numbers in the range 8001–8999

[edit]

### 8001 to 8099

[edit]

* 8001 – triangular number
* 8002 – Mertens function zero
* 8011 – Mertens function zero, super-prime
* 8012 – Mertens function zero
* 8017 – Mertens function zero
* 8021 – Mertens function zero
* 8039 – safe prime
* 8059 – super-prime
* 8069 – Sophie Germain prime
* 8093 – Sophie Germain prime

### 8100 to 8199

[edit]

* 8100 = 902
* 8101 – super-prime
* 8111 – Sophie Germain prime
* 8117 – super-prime, balanced prime
* 8119 – octahedral number;[2] 8119/5741 ≈ √2
* 8125 – pentagonal pyramidal number[3]
* 8128 – perfect number, harmonic divisor number, 127th triangular number, 64th hexagonal number, eighth 292-gonal number, fourth 1356-gonal number
* 8147 – safe prime
* 8189 – highly cototient number
* 8190 – harmonic divisor number
* 8191 – Mersenne prime
* 8192 = 213

### 8200 to 8299

[edit]

* 8208 – base 10 narcissistic number as 84 \+ 24 \+ 04 \+ 84 = 8208[4]
* 8219 – twin prime with 8221
* 8221 – super-prime, twin prime with 8219
* 8233 – super-prime, centered heptagonal number
* 8243 – Sophie Germain prime
* 8256 – triangular number
* 8257 – sum of the squares of the first fourteen primes
* 8269 – cuban prime of the form x = y \+ 1[5]
* 8273 – Sophie Germain prime
* 8281 = 912, sum of the cubes of the first thirteen integers, nonagonal number, centered octagonal number
* 8287 – super-prime

### 8300 to 8399

[edit]

* 8321 – super-Poulet number[6]
* 8326 – decagonal number[7]
* 8345 \- smallest pandigital number in base 6[8]
* 8361 – Leyland number[9]
* 8363 – prime number, number of prime numbers having five digits[10]
* 8377 – super-prime
* 8385 – triangular number
* 8389 – super-prime, twin prime

### 8400 to 8499

[edit]

* 8423 – safe prime
* 8436 – tetrahedral number[11]
* 8437 \- star number
* 8464 = 922

### 8500 to 8599

[edit]

* 8513 – Sophie Germain prime, super-prime
* 8515 – triangular number
* 8521 – sexy prime with 8527
* 8527 – super-prime, sexy prime with 8521
* 8543 – safe prime
* 8555 – square pyramidal number[12]
* 8558 – Large Schröder number
* 8576 – centered heptagonal number
* 8581 – super-prime

### 8600 to 8699

[edit]

* 8625 – nonagonal number
* 8646 – triangular number
* 8649 = 932, centered octagonal number
* 8658 \- sum of the first four perfect numbers (6, 28, 496, 8128) and the product of the culturally significant 666 and 13
* 8663 – Sophie Germain prime
* 8693 – Sophie Germain prime
* 8695 – decagonal number
* 8699 – safe prime

### 8700 to 8799

[edit]

* 8712 – smallest number that is divisible by its reverse: 8712 = 4 × 2178 (excluding palindromes and numbers with trailing zeros)
* 8713 – balanced prime
* 8719 – super-prime
* 8741 – Sophie Germain prime
* 8747 – safe prime, balanced prime, super-prime
* 8748 – 3-smooth number (22×37)
* 8751 – perfect totient number[13]
* 8760 \- the number of hours in a non-leap year; 365 × 24
* 8761 – super-prime
* 8778 – triangular number
* 8783 – safe prime
* 8784 \- the number of hours in a leap year; 366 × 24

### 8800 to 8899

[edit]

* 8801 – magic constant of n × n normal magic square and n-Queens Problem for n = 26.
* 8807 – super-prime, sum of eleven consecutive primes (761 + 769 + 773 + 787 + 797 + 809 + 811 + 821 + 823 + 827 + 829)
* 8819 – safe prime
* 8833 = 882 \+ 332
* 8836 = 942
* 8839 – sum of twenty-three consecutive primes (313 + 317 + 331 + 337 + 347 + 349 + 353 + 359 + 367 + 373 + 379 + 383 + 389 + 397 + 401 + 409 + 419 + 421 + 431 + 433 + 439 + 443 + 449)
* 8849 – super-prime
* 8855 – member of a Ruth-Aaron pair (first definition) with 8856
* 8856 – member of a Ruth-Aaron pair (first definition) with 8855
* 8888 \- repdigit
* 8893 \- star prime

### 8900 to 8999

[edit]

* 8911 – Carmichael number,[14] triangular number
* 8923 – super-prime
* 8926 – centered heptagonal number
* 8933 – the 1,111th prime number
* 8944 – sum of the cubes of the first seven primes
* 8951 – Sophie Germain prime
* 8963 – safe prime
* 8964 – number referring to the 1989 Tiananmen Square Protests
* 8969 – Sophie Germain prime
* 8976 – enneagonal number
* 8999 – super-prime

### Prime numbers

[edit]

There are 110 prime numbers between 8000 and 9000:[15][16]

8009, 8011, 8017, 8039, 8053, 8059, 8069, 8081, 8087, 8089, 8093, 8101, 8111, 8117, 8123, 8147, 8161, 8167, 8171, 8179, 8191, 8209, 8219, 8221, 8231, 8233, 8237, 8243, 8263, 8269, 8273, 8287, 8291, 8293, 8297, 8311, 8317, 8329, 8353, 8363, 8369, 8377, 8387, 8389, 8419, 8423, 8429, 8431, 8443, 8447, 8461, 8467, 8501, 8513, 8521, 8527, 8537, 8539, 8543, 8563, 8573, 8581, 8597, 8599, 8609, 8623, 8627, 8629, 8641, 8647, 8663, 8669, 8677, 8681, 8689, 8693, 8699, 8707, 8713, 8719, 8731, 8737, 8741, 8747, 8753, 8761, 8779, 8783, 8803, 8807, 8819, 8821, 8831, 8837, 8839, 8849, 8861, 8863, 8867, 8887, 8893, 8923, 8929, 8933, 8941, 8951, 8963, 8969, 8971, 8999

## References

[edit]

1. ^ Voiland, Adam (16 December 2013). "The Eight-Thousanders". The Earth Observatory. NASA. Retrieved 12 September 2016.
2. ^ "Sloane's A005900 : Octahedral numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-14.
3. ^ "Sloane's A002411 : Pentagonal pyramidal numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-14.
4. ^ Sloane, N. J. A. (ed.). "Sequence A005188 (Armstrong (or Plus Perfect, or narcissistic) numbers)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
5. ^ Sloane, N. J. A. (ed.). "Sequence A002407 (Cuban primes)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
6. ^ Sloane, N. J. A. (ed.). "Sequence A050217 (Super-Poulet numbers)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
7. ^ Sloane, N. J. A. (ed.). "Sequence A001107 (10-gonal (or decagonal) numbers)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
8. ^ Sloane, N. J. A. (ed.). "Sequence A049363 (a(1) = 1; for n > 1, smallest digitally balanced number in base n)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
9. ^ Sloane, N. J. A. (ed.). "Sequence A076980 (Leyland numbers)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
10. ^ Sloane, N. J. A. (ed.). "Sequence A006879 (Number of primes with n digits.)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
11. ^ Sloane, N. J. A. (ed.). "Sequence A000292 (Tetrahedral numbers)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
12. ^ Sloane, N. J. A. (ed.). "Sequence A000330 (Square pyramidal numbers)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
13. ^ Sloane, N. J. A. (ed.). "Sequence A082897 (Perfect totient numbers)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
14. ^ Sloane, N. J. A. (ed.). "Sequence A002997 (Carmichael numbers)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
15. ^ Sloane, N. J. A. (ed.). "Sequence A038823 (Number of primes between n*1000 and (n+1)*1000)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
16. ^ Stein, William A. (10 February 2017). "The Riemann Hypothesis and The Birch and Swinnerton-Dyer Conjecture". wstein.org. Retrieved 6 February 2021.

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1000s

* 1000
* 1001
* 1023
* 1024
* 1089
* 1093
* 1105
* 1234
* 1289
* 1458
* 1510
* 1728
* 1729
* 1980
* 1987

* 2000
* 2016
* 2520
* 3000
* 3511
* 4000
* 4104
* 5000
* 5040
* 6000
* 6174
* 7000
* 7744
* 7825
* 8000
* 8128
* 8192
* 9000
* 9855
* 9999

* 10,000
* 16,807
* 20,000
* 30,000
* 40,000
* 50,000
* 60,000
* 64,079
* 65,535
* 65,536
* 65,537
* 70,000
* 80,000
* 90,000

* 100,000
* 142,857
* 144,000
* 1,000,000
* 10,000,000
* 43,112,609
* 100,000,000
* 1,000,000,000
* 2,147,483,647
* 4,294,967,295
* 10,000,000,000
* 100,000,000,000

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