Numbers·130
130
CXXX
10000010

The number 130 — factors and divisors

Deficient

130 = 2 × 5 × 13. It has 8 divisors, adding up to 252.

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

Laid out as dots

It fits as 10 × 13. The more divisors, the closer to a square.

Prime factors
2 × 5 × 13
Divisors
1, 2, 5, 10, 13, 26, 65, 130
Sum of divisors
252
Sum without itself
122
Coprime below it
48
Digit sum
4
Digital root
4
Roman numeral
CXXX
Binary
10000010
Octal
202
Hexadecimal
82
Base 36
3M
Bits
8 bits
Collatz steps
28 steps · peaks at 196
Prime before
127
Prime after
131

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 130 a prime number?

No. It breaks down into 2 × 5 × 13.

Q. What are the divisors of 130?

1, 2, 5, 10, 13, 26, 65, 130 — 8 divisors in all, adding up to 252.

Q. How is 130 written in binary?

10000010, which is 8 bits. In hexadecimal it is 82.

Q. How many Collatz steps does 130 take?

It reaches 1 in 28, peaking at 196 on the way.