56
LVI
111000
The number 56 — factors and divisors
Abundant
56 = 2³ × 7. It has 8 divisors, adding up to 120.
Its divisors, itself excluded, add up to more than the number.
Laid out as dots
It fits as 7 × 8. The more divisors, the closer to a square.
- Prime factors
- 2³ × 7
- Divisors
- 1, 2, 4, 7, 8, 14, 28, 56
- Sum of divisors
- 120
- Sum without itself
- 64
- Coprime below it
- 24
- Digit sum
- 11
- Digital root
- 2
- Roman numeral
- LVI
- Binary
- 111000
- Octal
- 70
- Hexadecimal
- 38
- Base 36
- 1K
- Bits
- 6 bits
- Collatz steps
- 19 steps · peaks at 56
- Prime before
- 53
- Prime after
- 59
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 56 a prime number?
No. It breaks down into 2³ × 7.
Q. What are the divisors of 56?
1, 2, 4, 7, 8, 14, 28, 56 — 8 divisors in all, adding up to 120.
Q. How is 56 written in binary?
111000, which is 6 bits. In hexadecimal it is 38.
Q. How many Collatz steps does 56 take?
It reaches 1 in 19, peaking at 56 on the way.