175 (number)

Short description: Natural number

| <- 174  | 175 |  176 ->

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← 170 171 172 173 174 175 176 177 178 179 →

List of numbers — Integers

← 0 100 200 300 400 500 600 700 800 900 →

Cardinal| one hundred seventy-five
Ordinal| 175th
(one hundred seventy-fifth)
Factorization| 52 × 7
Divisors| 1, 5, 7, 25, 35, 175
Greek numeral| ΡΟΕ´
Roman numeral| CLXXV
Binary| 101011112
Ternary| 201113
Quaternary| 22334
Quinary| 12005
Senary| 4516
Octal| 2578
Duodecimal| 12712
Hexadecimal| AF16
Vigesimal| 8F20
Base 36| 4V36

175 (one hundred [and] seventy-five) is the natural number following 174 and preceding 176.

## Contents

* 1 In mathematics
* 2 In other fields
* 3 See also
* 4 References

## In mathematics

Raising the decimal digits of 175 to the powers of successive integers produces 175 back again: 175 = 11 \+ 72 \+ 53.[1]

175 is a figurate number for a rhombic dodecahedron, the difference of two consecutive fourth powers: 175 = 44 − 34.[2] It is also a decagonal number and a decagonal pyramid number, the smallest number after 1 that has both properties.[3]

## In other fields

In the Book of Genesis 25:7-8, Abraham is said to have lived to be 175 years old.[4]

175 is the fire emergency number in Lebanon.[5]

## See also

* The year AD 175 or 175 BC
* List of highways numbered 175
* All pages with titles containing 175

## References

1. ↑ Sloane, N. J. A., ed. "Sequence A032799 (Numbers n such that n equals the sum of its digits raised to the consecutive powers (1,2,3,...))". OEIS Foundation. https://oeis.org/A032799.
2. ↑ Sloane, N. J. A., ed. "Sequence A005917 (Rhombic dodecahedral numbers: a(n) = n^4 - (n - 1)^4)". OEIS Foundation. https://oeis.org/A005917.
3. ↑ Sloane, N. J. A., ed. "Sequence A344280 (Numbers that are both 10-gonal numbers (A001107) and 10-gonal pyramidal numbers)". OEIS Foundation. https://oeis.org/A344280.
4. ↑ Brin, Gershon (2001). "Chapter 27: Life Duration in the Scrolls and the Apocrypha". The Concept of Time in The Bible and the Dead Sea Scrolls. Brill. pp. 350–359. doi:10.1163/9789047401179_042.
5. ↑ Sayed, Mazen J. El; Bayram, Jamil D. (December 2012). "Prehospital Emergency Medical Services in Lebanon: Overview and Prospects". Prehospital and Disaster Medicine 28 (2): 163–165. doi:10.1017/s1049023x12001732. PMID 23253562.

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