Number reference
54 explained.
54: fifty-four, composite; factors, prime factorization, roots, binary, hexadecimal, and digit properties.
Identity and representations
- Written form
- fifty-four
- Classification
- composite
- Factors
- 1, 2, 3, 6, 9, 18, 27, 54
- Prime factorization
- 2 × 3 × 3 × 3
- Square root
- 7.348469
- Cube root
- 3.779763
- Binary
- 110110
- Octal
- 66
- Hexadecimal
- 36
- Roman numeral
- LIV
- Digit sum
- 9
- Digital root
- 9
What makes 54 notable
- Factor structure. 54 breaks down into 2 distinct primes (2, 3) and has 8 divisors in total, so it can be split into equal whole-number groups 6 ways beyond 1 and itself.
54 in everyday use
Fifty-four cards make a deck with both jokers. It is the atomic number of xenon, the gas in camera flashes and some spacecraft thrusters. A Rubik's Cube shows 54 coloured squares, nine on each of six faces. Studio 54 was the Manhattan nightclub that defined disco-era celebrity from 1977. Car 54, Where Are You? was a 1960s television comedy, and "54-46 That's My Number" is a reggae classic by Toots and the Maytals.
Fifty-four is 2 × 3³, the sum of two cubes 27 + 27, and the product of 6 and 9. It has eight divisors, and its proper divisors sum to 66, so it is abundant. It can be written as the sum of three squares, 49 + 4 + 1, and in binary it is 110110. Its digit sum is 9, which divides it, so 54 is a Harshad number.
Nearby numbers
How to read this page
The factor list shows every way 54 splits into equal whole-number groups — 8 divisors in total. The prime factorisation is the compact form of that same information, and the base conversions restate 54 for contexts that do not use decimal.
Percentage calculator · Fraction calculator · Browse Number Explorer