240
CCXL
11110000
The number 240 — factors and divisors
Abundant
240 = 2⁴ × 3 × 5. It has 20 divisors, adding up to 744.
Its divisors, itself excluded, add up to more than the number.
Laid out as dots
It fits as 15 × 16. The more divisors, the closer to a square.
- Prime factors
- 2⁴ × 3 × 5
- Divisors
- 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240
- Sum of divisors
- 744
- Sum without itself
- 504
- Coprime below it
- 64
- Digit sum
- 6
- Digital root
- 6
- Roman numeral
- CCXL
- Binary
- 11110000
- Octal
- 360
- Hexadecimal
- F0
- Base 36
- 6O
- Bits
- 8 bits
- Collatz steps
- 21 steps · peaks at 240
- Prime before
- 239
- Prime after
- 241
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 240 a prime number?
No. It breaks down into 2⁴ × 3 × 5.
Q. What are the divisors of 240?
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240 — 20 divisors in all, adding up to 744.
Q. How is 240 written in binary?
11110000, which is 8 bits. In hexadecimal it is F0.
Q. How many Collatz steps does 240 take?
It reaches 1 in 21, peaking at 240 on the way.