114
CXIV
1110010
The number 114 — factors and divisors
Abundant
114 = 2 × 3 × 19. It has 8 divisors, adding up to 240.
Its divisors, itself excluded, add up to more than the number.
Laid out as dots
It fits as 6 × 19. The more divisors, the closer to a square.
- Prime factors
- 2 × 3 × 19
- Divisors
- 1, 2, 3, 6, 19, 38, 57, 114
- Sum of divisors
- 240
- Sum without itself
- 126
- Coprime below it
- 36
- Digit sum
- 6
- Digital root
- 6
- Roman numeral
- CXIV
- Binary
- 1110010
- Octal
- 162
- Hexadecimal
- 72
- Base 36
- 36
- Bits
- 7 bits
- Collatz steps
- 33 steps · peaks at 196
- 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 114 a prime number?
No. It breaks down into 2 × 3 × 19.
Q. What are the divisors of 114?
1, 2, 3, 6, 19, 38, 57, 114 — 8 divisors in all, adding up to 240.
Q. How is 114 written in binary?
1110010, which is 7 bits. In hexadecimal it is 72.
Q. How many Collatz steps does 114 take?
It reaches 1 in 33, peaking at 196 on the way.