224
CCXXIV
11100000
The number 224 — factors and divisors
Abundant
224 = 2⁵ × 7. It has 12 divisors, adding up to 504.
Its divisors, itself excluded, add up to more than the number.
Laid out as dots
It fits as 14 × 16. The more divisors, the closer to a square.
- Prime factors
- 2⁵ × 7
- Divisors
- 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224
- Sum of divisors
- 504
- Sum without itself
- 280
- Coprime below it
- 96
- Digit sum
- 8
- Digital root
- 8
- Roman numeral
- CCXXIV
- Binary
- 11100000
- Octal
- 340
- Hexadecimal
- E0
- Base 36
- 68
- Bits
- 8 bits
- Collatz steps
- 21 steps · peaks at 224
- Prime before
- 223
- Prime after
- 227
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 224 a prime number?
No. It breaks down into 2⁵ × 7.
Q. What are the divisors of 224?
1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224 — 12 divisors in all, adding up to 504.
Q. How is 224 written in binary?
11100000, which is 8 bits. In hexadecimal it is E0.
Q. How many Collatz steps does 224 take?
It reaches 1 in 21, peaking at 224 on the way.