Numbers·80
80
LXXX
1010000

The number 80 — factors and divisors

Abundant

80 = 2⁴ × 5. It has 10 divisors, adding up to 186.

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

Laid out as dots

It fits as 8 × 10. The more divisors, the closer to a square.

Prime factors
2⁴ × 5
Divisors
1, 2, 4, 5, 8, 10, 16, 20, 40, 80
Sum of divisors
186
Sum without itself
106
Coprime below it
32
Digit sum
8
Digital root
8
Roman numeral
LXXX
Binary
1010000
Octal
120
Hexadecimal
50
Base 36
28
Bits
7 bits
Collatz steps
9 steps · peaks at 80
Prime before
79
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 80 a prime number?

No. It breaks down into 2⁴ × 5.

Q. What are the divisors of 80?

1, 2, 4, 5, 8, 10, 16, 20, 40, 80 — 10 divisors in all, adding up to 186.

Q. How is 80 written in binary?

1010000, which is 7 bits. In hexadecimal it is 50.

Q. How many Collatz steps does 80 take?

It reaches 1 in 9, peaking at 80 on the way.