175 (number)
175 (one hundred [and] seventy-five) is the natural number following 174 and preceding 176.
| ||||
|---|---|---|---|---|
| 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 | |||
| 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
- 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.
- 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.
- 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.
- 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. S2CID 24450359.
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