108
CVIII
1101100
The number 108 — factors and divisors
Abundant
108 = 2² × 3³. It has 12 divisors, adding up to 280.
Its divisors, itself excluded, add up to more than the number.
Laid out as dots
It fits as 9 × 12. The more divisors, the closer to a square.
- Prime factors
- 2² × 3³
- Divisors
- 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108
- Sum of divisors
- 280
- Sum without itself
- 172
- Coprime below it
- 36
- Digit sum
- 9
- Digital root
- 9
- Roman numeral
- CVIII
- Binary
- 1101100
- Octal
- 154
- Hexadecimal
- 6C
- Base 36
- 30
- Bits
- 7 bits
- Collatz steps
- 113 steps · peaks at 9,232
- Prime before
- 107
- Prime after
- 109
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 108 a prime number?
No. It breaks down into 2² × 3³.
Q. What are the divisors of 108?
1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108 — 12 divisors in all, adding up to 280.
Q. How is 108 written in binary?
1101100, which is 7 bits. In hexadecimal it is 6C.
Q. How many Collatz steps does 108 take?
It reaches 1 in 113, peaking at 9,232 on the way.