24
XXIV
11000
The number 24 — factors and divisors
Abundant
24 = 2³ × 3. It has 8 divisors, adding up to 60.
Its divisors, itself excluded, add up to more than the number.
Laid out as dots
It fits as 4 × 6. The more divisors, the closer to a square.
- Prime factors
- 2³ × 3
- Divisors
- 1, 2, 3, 4, 6, 8, 12, 24
- Sum of divisors
- 60
- Sum without itself
- 36
- Coprime below it
- 8
- Digit sum
- 6
- Digital root
- 6
- Roman numeral
- XXIV
- Binary
- 11000
- Octal
- 30
- Hexadecimal
- 18
- Base 36
- O
- Bits
- 5 bits
- Collatz steps
- 10 steps · peaks at 24
- Prime before
- 23
- Prime after
- 29
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 24 a prime number?
No. It breaks down into 2³ × 3.
Q. What are the divisors of 24?
1, 2, 3, 4, 6, 8, 12, 24 — 8 divisors in all, adding up to 60.
Q. How is 24 written in binary?
11000, which is 5 bits. In hexadecimal it is 18.
Q. How many Collatz steps does 24 take?
It reaches 1 in 10, peaking at 24 on the way.