208
CCVIII
11010000
The number 208 — factors and divisors
Abundant
208 = 2⁴ × 13. It has 10 divisors, adding up to 434.
Its divisors, itself excluded, add up to more than the number.
Laid out as dots
It fits as 13 × 16. The more divisors, the closer to a square.
- Prime factors
- 2⁴ × 13
- Divisors
- 1, 2, 4, 8, 13, 16, 26, 52, 104, 208
- Sum of divisors
- 434
- Sum without itself
- 226
- Coprime below it
- 96
- Digit sum
- 10
- Digital root
- 1
- Roman numeral
- CCVIII
- Binary
- 11010000
- Octal
- 320
- Hexadecimal
- D0
- Base 36
- 5S
- Bits
- 8 bits
- Collatz steps
- 13 steps · peaks at 208
- 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 208 a prime number?
No. It breaks down into 2⁴ × 13.
Q. What are the divisors of 208?
1, 2, 4, 8, 13, 16, 26, 52, 104, 208 — 10 divisors in all, adding up to 434.
Q. How is 208 written in binary?
11010000, which is 8 bits. In hexadecimal it is D0.
Q. How many Collatz steps does 208 take?
It reaches 1 in 13, peaking at 208 on the way.