76 (number)

Natural number

| ← 75  | 76 |  77 →

|
|

← 70 71 72 73 74 75 76 77 78 79 →

* List of numbers
* Integers

← 0 10 20 30 40 50 60 70 80 90 →

Cardinal| seventy-six
Ordinal| 76th
(seventy-sixth)
Factorization| 22 × 19
Divisors| 1, 2, 4, 19, 38, 76
Greek numeral| ΟϚ´
Roman numeral| LXXVI, lxxvi
Binary| 10011002
Ternary| 22113
Senary| 2046
Octal| 1148
Duodecimal| 6412
Hexadecimal| 4C16

76 (seventy-six) is the natural number following 75 and preceding 77.

## In mathematics

[edit]

76 is:

* a composite number; a square-prime, of the form (p2, q) where q is a higher prime. It is the ninth of this general form and the seventh of the form (22.q).

* a Lucas number.[1]
* a telephone or involution number, the number of different ways of connecting 6 points with pairwise connections.[2]
* a nontotient.[3]
* a 14-gonal number.[4]
* a centered pentagonal number.[5]
* an Erdős–Woods number since it is possible to find sequences of 76 consecutive integers such that each inner member shares a factor with either the first or the last member.[6]
* with an aliquot sum of 64; within an aliquot sequence of two composite numbers (76,64,63,1,0) to the Prime in the 63-aliquot tree.
* an automorphic number in base 10.[7] It is one of two 2-digit numbers whose square, 5,776, and higher powers, end in the same two digits. The other is 25.

There are 76 unique compact uniform hyperbolic honeycombs in the third dimension that are generated from Wythoff constructions.

The Bennington Flag features the number 76.

## References

[edit]

1. ^ "Sloane's A000032 : Lucas numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-05-29.
2. ^ "Sloane's A000085 : Involution numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2021-12-03.
3. ^ "Sloane's A005277 : Nontotients". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-05-29.
4. ^ "Sloane's A051866 : 14-gonal numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-05-29.
5. ^ "Sloane's A005891 : Centered pentagonal numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-05-29.
6. ^ "Sloane's A059756 : Erdős-Woods numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-05-29.
7. ^ "Sloane's A003226 : Automorphic numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-05-29.

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800s

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900s

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1000s

* 1000
* 1001
* 1023
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* 1089
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* 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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