Numbers·218
218
CCXVIII
11011010

The number 218 — factors and divisors

Deficient

218 = 2 × 109. It has 4 divisors, adding up to 330.

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

Laid out as dots

It fits as 2 × 109. The more divisors, the closer to a square.

Prime factors
2 × 109
Divisors
1, 2, 109, 218
Sum of divisors
330
Sum without itself
112
Coprime below it
108
Digit sum
11
Digital root
2
Roman numeral
CCXVIII
Binary
11011010
Octal
332
Hexadecimal
DA
Base 36
62
Bits
8 bits
Collatz steps
114 steps · peaks at 9,232
Prime before
211
Prime after
223

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 218 a prime number?

No. It breaks down into 2 × 109.

Q. What are the divisors of 218?

1, 2, 109, 218 — 4 divisors in all, adding up to 330.

Q. How is 218 written in binary?

11011010, which is 8 bits. In hexadecimal it is DA.

Q. How many Collatz steps does 218 take?

It reaches 1 in 114, peaking at 9,232 on the way.