110
CX
1101110
The number 110 — factors and divisors
Deficient
110 = 2 × 5 × 11. It has 8 divisors, adding up to 216.
Its divisors, itself excluded, add up to less than the number.
Laid out as dots
It fits as 10 × 11. The more divisors, the closer to a square.
- Prime factors
- 2 × 5 × 11
- Divisors
- 1, 2, 5, 10, 11, 22, 55, 110
- Sum of divisors
- 216
- Sum without itself
- 106
- Coprime below it
- 40
- Digit sum
- 2
- Digital root
- 2
- Roman numeral
- CX
- Binary
- 1101110
- Octal
- 156
- Hexadecimal
- 6E
- Base 36
- 32
- Bits
- 7 bits
- Collatz steps
- 113 steps · peaks at 9,232
- Prime before
- 109
- Prime after
- 113
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 110 a prime number?
No. It breaks down into 2 × 5 × 11.
Q. What are the divisors of 110?
1, 2, 5, 10, 11, 22, 55, 110 — 8 divisors in all, adding up to 216.
Q. How is 110 written in binary?
1101110, which is 7 bits. In hexadecimal it is 6E.
Q. How many Collatz steps does 110 take?
It reaches 1 in 113, peaking at 9,232 on the way.