237
CCXXXVII
11101101
The number 237 — factors and divisors
Deficient
237 = 3 × 79. It has 4 divisors, adding up to 320.
Its divisors, itself excluded, add up to less than the number.
Laid out as dots
It fits as 3 × 79. The more divisors, the closer to a square.
- Prime factors
- 3 × 79
- Divisors
- 1, 3, 79, 237
- Sum of divisors
- 320
- Sum without itself
- 83
- Coprime below it
- 156
- Digit sum
- 12
- Digital root
- 3
- Roman numeral
- CCXXXVII
- Binary
- 11101101
- Octal
- 355
- Hexadecimal
- ED
- Base 36
- 6L
- Bits
- 8 bits
- Collatz steps
- 34 steps · peaks at 712
- Prime before
- 233
- Prime after
- 239
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 237 a prime number?
No. It breaks down into 3 × 79.
Q. What are the divisors of 237?
1, 3, 79, 237 — 4 divisors in all, adding up to 320.
Q. How is 237 written in binary?
11101101, which is 8 bits. In hexadecimal it is ED.
Q. How many Collatz steps does 237 take?
It reaches 1 in 34, peaking at 712 on the way.