Numbers·79
79
LXXIX
1001111

The number 79 — factors and divisors

Deficient

79 is a prime: only 1 and itself divide it. The prime before is 73, the next is 83.

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

Families it belongs to

Prime

Nothing divides it but 1 and itself.

Laid out as dots

It only fits in one row. Having no other rectangle is what being prime means.

Prime factors
It does not break down further
Divisors
1, 79
Sum of divisors
80
Sum without itself
1
Coprime below it
78
Digit sum
16
Digital root
7
Roman numeral
LXXIX
Binary
1001111
Octal
117
Hexadecimal
4F
Base 36
27
Bits
7 bits
Collatz steps
35 steps · peaks at 808
Prime before
73
Prime after
83

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 79 a prime number?

Yes. Nothing divides it but 1 and itself.

Q. What are the divisors of 79?

1, 79 — 2 divisors in all, adding up to 80.

Q. How is 79 written in binary?

1001111, which is 7 bits. In hexadecimal it is 4F.

Q. How many Collatz steps does 79 take?

It reaches 1 in 35, peaking at 808 on the way.