Numbers·14
14
XIV
1110

The number 14 — factors and divisors

Deficient

14 = 2 × 7. It has 4 divisors, adding up to 24.

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

Laid out as dots

It fits as 2 × 7. The more divisors, the closer to a square.

Prime factors
2 × 7
Divisors
1, 2, 7, 14
Sum of divisors
24
Sum without itself
10
Coprime below it
6
Digit sum
5
Digital root
5
Roman numeral
XIV
Binary
1110
Octal
16
Hexadecimal
E
Base 36
E
Bits
4 bits
Collatz steps
17 steps · peaks at 52
Prime before
13
Prime after
17

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 14 a prime number?

No. It breaks down into 2 × 7.

Q. What are the divisors of 14?

1, 2, 7, 14 — 4 divisors in all, adding up to 24.

Q. How is 14 written in binary?

1110, which is 4 bits. In hexadecimal it is E.

Q. How many Collatz steps does 14 take?

It reaches 1 in 17, peaking at 52 on the way.