112
CXII
1110000
The number 112 — factors and divisors
Abundant
112 = 2⁴ × 7. It has 10 divisors, adding up to 248.
Its divisors, itself excluded, add up to more than the number.
Laid out as dots
It fits as 8 × 14. The more divisors, the closer to a square.
- Prime factors
- 2⁴ × 7
- Divisors
- 1, 2, 4, 7, 8, 14, 16, 28, 56, 112
- Sum of divisors
- 248
- Sum without itself
- 136
- Coprime below it
- 48
- Digit sum
- 4
- Digital root
- 4
- Roman numeral
- CXII
- Binary
- 1110000
- Octal
- 160
- Hexadecimal
- 70
- Base 36
- 34
- Bits
- 7 bits
- Collatz steps
- 20 steps · peaks at 112
- 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 112 a prime number?
No. It breaks down into 2⁴ × 7.
Q. What are the divisors of 112?
1, 2, 4, 7, 8, 14, 16, 28, 56, 112 — 10 divisors in all, adding up to 248.
Q. How is 112 written in binary?
1110000, which is 7 bits. In hexadecimal it is 70.
Q. How many Collatz steps does 112 take?
It reaches 1 in 20, peaking at 112 on the way.