52
LII
110100
The number 52 — factors and divisors
Deficient
52 = 2² × 13. It has 6 divisors, adding up to 98.
Its divisors, itself excluded, add up to less than the number.
Laid out as dots
It fits as 4 × 13. The more divisors, the closer to a square.
- Prime factors
- 2² × 13
- Divisors
- 1, 2, 4, 13, 26, 52
- Sum of divisors
- 98
- Sum without itself
- 46
- Coprime below it
- 24
- Digit sum
- 7
- Digital root
- 7
- Roman numeral
- LII
- Binary
- 110100
- Octal
- 64
- Hexadecimal
- 34
- Base 36
- 1G
- Bits
- 6 bits
- Collatz steps
- 11 steps · peaks at 52
- Prime before
- 47
- Prime after
- 53
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 52 a prime number?
No. It breaks down into 2² × 13.
Q. What are the divisors of 52?
1, 2, 4, 13, 26, 52 — 6 divisors in all, adding up to 98.
Q. How is 52 written in binary?
110100, which is 6 bits. In hexadecimal it is 34.
Q. How many Collatz steps does 52 take?
It reaches 1 in 11, peaking at 52 on the way.