175 (number)
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| ||||
|---|---|---|---|---|
| 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 | |||
175 (one hundred [and] seventy-five) is the natural number following 174 and preceding 176.
In mathematics
[edit]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
[edit]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]United 175, a plane hijacked as part of 9/11
See also
[edit]References
[edit]- ^ 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.
- ^ "Prehospital Emergency Medical Services in Lebanon: Overview and Prospects". Prehospital and Disaster Medicine.
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