175 (number)

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← 174 175 176 →
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

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

Contents

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

Related Research Articles

1000 or one thousand is the natural number following 999 and preceding 1001. In most English-speaking countries, it can be written with or without a comma or sometimes a period separating the thousands digit: 1,000.

300 is the natural number following 299 and preceding 301.

400 is the natural number following 399 and preceding 401.

500 is the natural number following 499 and preceding 501.

700 is the natural number following 699 and preceding 701.

600 is the natural number following 599 and preceding 601.

800 is the natural number following 799 and preceding 801.

900 is the natural number following 899 and preceding 901. It is the square of 30 and the sum of Euler's totient function for the first 54 positive integers. In base 10 it is a Harshad number. It is also the first number to be the square of a sphenic number.

2000 is a natural number following 1999 and preceding 2001.

126 is the natural number following 125 and preceding 127.

3000 is the natural number following 2999 and preceding 3001. It is the smallest number requiring thirteen letters in English.

4000 is the natural number following 3999 and preceding 4001. It is a decagonal number.

5000 is the natural number following 4999 and preceding 5001. Five thousand is the largest isogrammic number in the English language.

6000 is the natural number following 5999 and preceding 6001.

7000 is the natural number following 6999 and preceding 7001.

8000 is the natural number following 7999 and preceding 8001.

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9000 is the natural number following 8999 and preceding 9001.

1105 is the natural number following 1104 and preceding 1106.

References

  1. ↑ Sloane, N. J. A. (ed.). "SequenceA032799(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.). "SequenceA005917(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.). "SequenceA344280(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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