Numbers·62
62
LXII
111110

The number 62 — factors and divisors

Deficient

62 = 2 × 31. It has 4 divisors, adding up to 96.

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

Laid out as dots

It fits as 2 × 31. The more divisors, the closer to a square.

Prime factors
2 × 31
Divisors
1, 2, 31, 62
Sum of divisors
96
Sum without itself
34
Coprime below it
30
Digit sum
8
Digital root
8
Roman numeral
LXII
Binary
111110
Octal
76
Hexadecimal
3E
Base 36
1Q
Bits
6 bits
Collatz steps
107 steps · peaks at 9,232
Prime before
61
Prime after
67

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 62 a prime number?

No. It breaks down into 2 × 31.

Q. What are the divisors of 62?

1, 2, 31, 62 — 4 divisors in all, adding up to 96.

Q. How is 62 written in binary?

111110, which is 6 bits. In hexadecimal it is 3E.

Q. How many Collatz steps does 62 take?

It reaches 1 in 107, peaking at 9,232 on the way.