# 175 (number)

 ← 174 175 176 →
Cardinal one hundred and seventy-five
Ordinal 175th
(one hundred and seventy-fifth)
Factorization 52· 7
Divisors 1, 5, 7, 25, 35, 175
Roman numeral CLXXV
Binary 101011112
Ternary 201113
Quaternary 22334
Quinary 12005
Senary 4516
Octal 2578
Duodecimal 12712
Vigesimal 8F20
Base 36 4V36

175 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, a 19-gonal number, 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: $175 = 1^1 + 7^2 + 5^3$. 135, 518 and 598 also have this property.

## In sports

Henry Christopher Gayle (Chris Gayle) smashed a record of 175 runs in 60 balls against Sahara Pune Warriors in the 2013, 6th edition of the Indian Premier League. (Royal Challengers Bangalore vs. Sahara Pune Warriors)