238
CCXXXVIII
11101110
The number 238 — factors and divisors
Deficient
238 = 2 × 7 × 17. It has 8 divisors, adding up to 432.
Its divisors, itself excluded, add up to less than the number.
Laid out as dots
It fits as 14 × 17. The more divisors, the closer to a square.
- Prime factors
- 2 × 7 × 17
- Divisors
- 1, 2, 7, 14, 17, 34, 119, 238
- Sum of divisors
- 432
- Sum without itself
- 194
- Coprime below it
- 96
- Digit sum
- 13
- Digital root
- 4
- Roman numeral
- CCXXXVIII
- Binary
- 11101110
- Octal
- 356
- Hexadecimal
- EE
- Base 36
- 6M
- Bits
- 8 bits
- Collatz steps
- 34 steps · peaks at 808
- 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 238 a prime number?
No. It breaks down into 2 × 7 × 17.
Q. What are the divisors of 238?
1, 2, 7, 14, 17, 34, 119, 238 — 8 divisors in all, adding up to 432.
Q. How is 238 written in binary?
11101110, which is 8 bits. In hexadecimal it is EE.
Q. How many Collatz steps does 238 take?
It reaches 1 in 34, peaking at 808 on the way.