63
LXIII
111111
The number 63 — factors and divisors
Deficient
63 = 3² × 7. It has 6 divisors, adding up to 104.
Its divisors, itself excluded, add up to less than the number.
Laid out as dots
It fits as 7 × 9. The more divisors, the closer to a square.
- Prime factors
- 3² × 7
- Divisors
- 1, 3, 7, 9, 21, 63
- Sum of divisors
- 104
- Sum without itself
- 41
- Coprime below it
- 36
- Digit sum
- 9
- Digital root
- 9
- Roman numeral
- LXIII
- Binary
- 111111
- Octal
- 77
- Hexadecimal
- 3F
- Base 36
- 1R
- Bits
- 6 bits
- Collatz steps
- 107 steps · peaks at 9,232
- Prime before
- 61
- Prime after
- 67
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 63 a prime number?
No. It breaks down into 3² × 7.
Q. What are the divisors of 63?
1, 3, 7, 9, 21, 63 — 6 divisors in all, adding up to 104.
Q. How is 63 written in binary?
111111, which is 6 bits. In hexadecimal it is 3F.
Q. How many Collatz steps does 63 take?
It reaches 1 in 107, peaking at 9,232 on the way.