Number analysis
75
75 is a composite odd number that factors as 3 × 5^2.
75 is a composite odd number that factors as 3 × 5^2.
The number itself
- Value
- 75
- Digits
- 2
- Digit sum
- 12
- Reversed
- 57
- Palindrome
- No
7 + 5
Digit sum repeated until one digit remains; equals n mod 9 (with 9 for multiples of 9).
Reverses to 57.
Parity and primality
- Parity
- Odd
- Prime
- No
- Prime factorisation
- 3 × 5^2
- Squarefree
- No
- Möbius μ(n)
- 0
- Nearest primes
- 73 ← → 79
Leaves remainder 1 on division by 2.
Composite — it factors as 3 × 5^2.
2 distinct prime factors, 3 with multiplicity.
At least one prime appears squared.
Zero, because a squared prime divides n.
A gap of 6 between them.
Divisors
- Aliquot sum
- 49
- Classification
- Deficient
1, 3, 5, 15, 25, 75
The proper divisors — everything except n itself.
Its proper divisors fall short by 26.
How many integers from 1 to n share no factor with n.
Sums and additive structure
- Sum of two squares
- No
- Sum of three squares
- Yes
- Sum of four squares
- Yes
A prime congruent to 3 mod 4 divides it an odd number of times, which rules it out.
Legendre's three-square theorem allows it.
Lagrange's four-square theorem: every non-negative integer is, without exception.
Shapes and sequences
- Figurate shapes
- None
Not triangular, square, pentagonal, hexagonal, cubic, Fibonacci, Lucas, Catalan, factorial or a power of two.
Digit curiosities
- Happy number
- No
- Harshad number
- No
- Collatz trajectory
- 14 steps to 1
Summing the squares of its digits falls into the 4 → 16 → 37 → … → 4 cycle.
Not divisible by its digit sum 12.
Peaks at 340 along the way.
Written other ways
- Binary
- 1001011
- Octal
- 113
- Hexadecimal
- 4B
- Base 36
- 23
- Roman numerals
- LXXV
- In words
- seventy-five
- Scientific notation
- 7.5 × 10^1
Is 75 a prime number?
Composite — it factors as 3 × 5^2.
Nearby numbers
Other numeral systems
Beyond the bases and Roman numerals above, these notations write 75 their own way.
- Greek (alphabetic)
- ΟΕʹ
- Babylonian cuneiform
- 𒐕𒌋𒐙
- Tamil
- ௭௰௫
References
Further reading: Wikipedia · Wikidata
Notations, naming and the links above come from Wikidata, whose structured data is dedicated to the public domain under CC0-1.0. Retrieved 2026-10-07.