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

← 174 175 176 →
Cardinalone hundred seventy-five
(one hundred seventy-fifth)
Factorization52 × 7
Divisors1, 5, 7, 25, 35, 175
Greek numeralΡΟΕ´
Roman numeralCLXXV

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]

See also edit

References edit

  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.