Numbers·70
70
LXX
1000110

The number 70 — factors and divisors

Abundant

70 = 2 × 5 × 7. It has 8 divisors, adding up to 144.

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

Laid out as dots

It fits as 7 × 10. The more divisors, the closer to a square.

Prime factors
2 × 5 × 7
Divisors
1, 2, 5, 7, 10, 14, 35, 70
Sum of divisors
144
Sum without itself
74
Coprime below it
24
Digit sum
7
Digital root
7
Roman numeral
LXX
Binary
1000110
Octal
106
Hexadecimal
46
Base 36
1Y
Bits
7 bits
Collatz steps
14 steps · peaks at 160
Prime before
67
Prime after
71

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 70 a prime number?

No. It breaks down into 2 × 5 × 7.

Q. What are the divisors of 70?

1, 2, 5, 7, 10, 14, 35, 70 — 8 divisors in all, adding up to 144.

Q. How is 70 written in binary?

1000110, which is 7 bits. In hexadecimal it is 46.

Q. How many Collatz steps does 70 take?

It reaches 1 in 14, peaking at 160 on the way.