234
CCXXXIV
11101010
The number 234 — factors and divisors
Abundant
234 = 2 × 3² × 13. It has 12 divisors, adding up to 546.
Its divisors, itself excluded, add up to more than the number.
Laid out as dots
It fits as 13 × 18. The more divisors, the closer to a square.
- Prime factors
- 2 × 3² × 13
- Divisors
- 1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234
- Sum of divisors
- 546
- Sum without itself
- 312
- Coprime below it
- 72
- Digit sum
- 9
- Digital root
- 9
- Roman numeral
- CCXXXIV
- Binary
- 11101010
- Octal
- 352
- Hexadecimal
- EA
- Base 36
- 6I
- Bits
- 8 bits
- Collatz steps
- 21 steps · peaks at 352
- 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 234 a prime number?
No. It breaks down into 2 × 3² × 13.
Q. What are the divisors of 234?
1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234 — 12 divisors in all, adding up to 546.
Q. How is 234 written in binary?
11101010, which is 8 bits. In hexadecimal it is EA.
Q. How many Collatz steps does 234 take?
It reaches 1 in 21, peaking at 352 on the way.