232
CCXXXII
11101000
The number 232 — factors and divisors
Deficient
232 = 2³ × 29. It has 8 divisors, adding up to 450.
Its divisors, itself excluded, add up to less than the number.
Laid out as dots
It fits as 8 × 29. The more divisors, the closer to a square.
- Prime factors
- 2³ × 29
- Divisors
- 1, 2, 4, 8, 29, 58, 116, 232
- Sum of divisors
- 450
- Sum without itself
- 218
- Coprime below it
- 112
- Digit sum
- 7
- Digital root
- 7
- Roman numeral
- CCXXXII
- Binary
- 11101000
- Octal
- 350
- Hexadecimal
- E8
- Base 36
- 6G
- Bits
- 8 bits
- Collatz steps
- 21 steps · peaks at 232
- Prime before
- 229
- Prime after
- 233
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 232 a prime number?
No. It breaks down into 2³ × 29.
Q. What are the divisors of 232?
1, 2, 4, 8, 29, 58, 116, 232 — 8 divisors in all, adding up to 450.
Q. How is 232 written in binary?
11101000, which is 8 bits. In hexadecimal it is E8.
Q. How many Collatz steps does 232 take?
It reaches 1 in 21, peaking at 232 on the way.