Number analysis
44
44 is a composite even number that factors as 2^2 × 11.
44 is a composite even number that factors as 2^2 × 11.
The number itself
- Value
- 44
- Digits
- 2
- Digit sum
- 8
- Reversed
- 44
- Palindrome
- Yes
4 + 4
Digit sum repeated until one digit remains; equals n mod 9 (with 9 for multiples of 9).
Reads the same in both directions.
Parity and primality
- Parity
- Even
- Prime
- No
- Prime factorisation
- 2^2 × 11
- Squarefree
- No
- Möbius μ(n)
- 0
- Nearest primes
- 43 ← → 47
Divisible by 2.
Composite — it factors as 2^2 × 11.
2 distinct prime factors, 3 with multiplicity.
At least one prime appears squared.
Zero, because a squared prime divides n.
A gap of 4 between them.
Divisors
- Aliquot sum
- 40
- Classification
- Deficient
1, 2, 4, 11, 22, 44
The proper divisors — everything except n itself.
Its proper divisors fall short by 4.
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
- Goldbach pair
- 3 + 41
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.
The smallest pair of primes summing to n. Goldbach’s conjecture says one always exists; it remains unproven.
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
- Yes
- Harshad number
- No
- Collatz trajectory
- 16 steps to 1
Repeatedly summing the squares of its digits reaches 1.
Not divisible by its digit sum 8.
Peaks at 52 along the way.
Written other ways
- Binary
- 101100
- Octal
- 54
- Hexadecimal
- 2C
- Base 36
- 18
- Roman numerals
- XLIV
- In words
- forty-four
- Scientific notation
- 4.4 × 10^1
Is 44 a prime number?
Composite — it factors as 2^2 × 11.
Nearby numbers
Other numeral systems
Beyond the bases and Roman numerals above, these notations write 44 their own way.
- Greek (alphabetic)
- ΜΔʹ
- Babylonian cuneiform
- 𒐏𒐘
- Tamil
- ௪௰௪
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.