175 (number)

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

← 174 175 176 →
← 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	5^2 × 7
Divisors	1, 5, 7, 25, 35, 175
Greek numeral	ΡΟΕ´
Roman numeral	CLXXV
Binary	101011112
Ternary	201113
Senary	4516
Octal	2578
Duodecimal	12712
Hexadecimal	AF16

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,...))". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
2. Sloane, N. J. A. (ed.). "Sequence A005917 (Rhombic dodecahedral numbers: a(n) = n^4 - (n - 1)^4)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
3. Sloane, N. J. A. (ed.). "Sequence A344280 (Numbers that are both 10-gonal numbers (A001107) and 10-gonal pyramidal numbers)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation.
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. S2CID 24450359.

 

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