175 (number)

	← 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

Short description: Natural number

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

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]

References

↑ 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.
↑ Sloane, N. J. A., ed. "Sequence A005917 (Rhombic dodecahedral numbers: a(n) = n^4 - (n - 1)^4)". OEIS Foundation. https://oeis.org/A005917.
↑ 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.
↑ 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.
↑ 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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[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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175 (number)

Contents

In mathematics

In other fields

See also

References