# 175 (number)

 ← 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
Quaternary 22334
Quinary 12005
Senary 4516
Octal 2578
Duodecimal 12712
Vigesimal 8F20
Base 36 4V36

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

## In mathematics

175 is an odd number, a composite number, and a deficient number. It is a decagonal number,[1] a 19-gonal number,[2] and a centered 29-gonal number.

175 is an Ulam number, and a Zuckerman number. It is the magic constant of the n×n normal magic square and n-Queens Problem for n = 7.

In base 10, raising the digits of 175 to powers of successive integers equals itself: 175 = 11 + 72+ 53. 135, 518, 598, and 1306 also have this property.

## In religion

The Bible says that Abraham lived to be 175 years old.[3]

175 is also:

## References

1. ^ "Sloane's A001107 : 10-gonal (or decagonal) numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-05-28.
2. ^ "Sloane's A051871 : 19-gonal (or enneadecagonal) numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-05-28.
3. ^ Genesis 25:7-8