116
CXVI
1110100
The number 116 — factors and divisors
Deficient
116 = 2² × 29. It has 6 divisors, adding up to 210.
Its divisors, itself excluded, add up to less than the number.
Laid out as dots
It fits as 4 × 29. The more divisors, the closer to a square.
- Prime factors
- 2² × 29
- Divisors
- 1, 2, 4, 29, 58, 116
- Sum of divisors
- 210
- Sum without itself
- 94
- Coprime below it
- 56
- Digit sum
- 8
- Digital root
- 8
- Roman numeral
- CXVI
- Binary
- 1110100
- Octal
- 164
- Hexadecimal
- 74
- Base 36
- 38
- Bits
- 7 bits
- Collatz steps
- 20 steps · peaks at 116
- Prime before
- 113
- Prime after
- 127
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 116 a prime number?
No. It breaks down into 2² × 29.
Q. What are the divisors of 116?
1, 2, 4, 29, 58, 116 — 6 divisors in all, adding up to 210.
Q. How is 116 written in binary?
1110100, which is 7 bits. In hexadecimal it is 74.
Q. How many Collatz steps does 116 take?
It reaches 1 in 20, peaking at 116 on the way.