132
CXXXII
10000100
The number 132 — factors and divisors
Abundant
132 = 2² × 3 × 11. It has 12 divisors, adding up to 336.
Its divisors, itself excluded, add up to more than the number.
Laid out as dots
It fits as 11 × 12. The more divisors, the closer to a square.
- Prime factors
- 2² × 3 × 11
- Divisors
- 1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132
- Sum of divisors
- 336
- Sum without itself
- 204
- Coprime below it
- 40
- Digit sum
- 6
- Digital root
- 6
- Roman numeral
- CXXXII
- Binary
- 10000100
- Octal
- 204
- Hexadecimal
- 84
- Base 36
- 3O
- Bits
- 8 bits
- Collatz steps
- 28 steps · peaks at 132
- Prime before
- 131
- Prime after
- 137
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 132 a prime number?
No. It breaks down into 2² × 3 × 11.
Q. What are the divisors of 132?
1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132 — 12 divisors in all, adding up to 336.
Q. How is 132 written in binary?
10000100, which is 8 bits. In hexadecimal it is 84.
Q. How many Collatz steps does 132 take?
It reaches 1 in 28, peaking at 132 on the way.