44
XLIV
101100
The number 44 — factors and divisors
Deficient
44 = 2² × 11. It has 6 divisors, adding up to 84.
Its divisors, itself excluded, add up to less than the number.
Laid out as dots
It fits as 4 × 11. The more divisors, the closer to a square.
- Prime factors
- 2² × 11
- Divisors
- 1, 2, 4, 11, 22, 44
- Sum of divisors
- 84
- Sum without itself
- 40
- Coprime below it
- 20
- Digit sum
- 8
- Digital root
- 8
- Roman numeral
- XLIV
- Binary
- 101100
- Octal
- 54
- Hexadecimal
- 2C
- Base 36
- 18
- Bits
- 6 bits
- Collatz steps
- 16 steps · peaks at 52
- Prime before
- 43
- Prime after
- 47
The grid
Ten per row, twenty rows. The filled cells are primes — you can see the multiples of 2 and 5 drop out in columns.
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Numbers either side
How to read this
- The prime factors are what the number is made of. The count and sum of divisors both follow from them.
- Add the divisors, take the number away, and you get perfect, abundant or deficient.
- The length of the binary form is the bit count. 255 taking eight digits is what a byte is.
- Collatz: halve it if even, triple it and add one if odd. The count is how many moves reach 1.
Frequently asked questions
Q. Is 44 a prime number?
No. It breaks down into 2² × 11.
Q. What are the divisors of 44?
1, 2, 4, 11, 22, 44 — 6 divisors in all, adding up to 84.
Q. How is 44 written in binary?
101100, which is 6 bits. In hexadecimal it is 2C.
Q. How many Collatz steps does 44 take?
It reaches 1 in 16, peaking at 52 on the way.