200
CC
11001000
The number 200 — factors and divisors
Abundant
200 = 2³ × 5². It has 12 divisors, adding up to 465.
Its divisors, itself excluded, add up to more than the number.
Laid out as dots
It fits as 10 × 20. The more divisors, the closer to a square.
- Prime factors
- 2³ × 5²
- Divisors
- 1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200
- Sum of divisors
- 465
- Sum without itself
- 265
- Coprime below it
- 80
- Digit sum
- 2
- Digital root
- 2
- Roman numeral
- CC
- Binary
- 11001000
- Octal
- 310
- Hexadecimal
- C8
- Base 36
- 5K
- Bits
- 8 bits
- Collatz steps
- 26 steps · peaks at 200
- Prime before
- 199
- Prime after
- 211
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 200 a prime number?
No. It breaks down into 2³ × 5².
Q. What are the divisors of 200?
1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200 — 12 divisors in all, adding up to 465.
Q. How is 200 written in binary?
11001000, which is 8 bits. In hexadecimal it is C8.
Q. How many Collatz steps does 200 take?
It reaches 1 in 26, peaking at 200 on the way.