Numbers·201
201
CCI
11001001

The number 201 — factors and divisors

Deficient

201 = 3 × 67. It has 4 divisors, adding up to 272.

Its divisors, itself excluded, add up to less than the number.

Laid out as dots

It fits as 3 × 67. The more divisors, the closer to a square.

Prime factors
3 × 67
Divisors
1, 3, 67, 201
Sum of divisors
272
Sum without itself
71
Coprime below it
132
Digit sum
3
Digital root
3
Roman numeral
CCI
Binary
11001001
Octal
311
Hexadecimal
C9
Base 36
5L
Bits
8 bits
Collatz steps
18 steps · peaks at 1,024
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.

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 201 a prime number?

No. It breaks down into 3 × 67.

Q. What are the divisors of 201?

1, 3, 67, 201 — 4 divisors in all, adding up to 272.

Q. How is 201 written in binary?

11001001, which is 8 bits. In hexadecimal it is C9.

Q. How many Collatz steps does 201 take?

It reaches 1 in 18, peaking at 1,024 on the way.