Numbers·104
104
CIV
1101000

The number 104 — factors and divisors

Abundant

104 = 2³ × 13. It has 8 divisors, adding up to 210.

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

Laid out as dots

It fits as 8 × 13. The more divisors, the closer to a square.

Prime factors
2³ × 13
Divisors
1, 2, 4, 8, 13, 26, 52, 104
Sum of divisors
210
Sum without itself
106
Coprime below it
48
Digit sum
5
Digital root
5
Roman numeral
CIV
Binary
1101000
Octal
150
Hexadecimal
68
Base 36
2W
Bits
7 bits
Collatz steps
12 steps · peaks at 104
Prime before
103
Prime after
107

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 104 a prime number?

No. It breaks down into 2³ × 13.

Q. What are the divisors of 104?

1, 2, 4, 8, 13, 26, 52, 104 — 8 divisors in all, adding up to 210.

Q. How is 104 written in binary?

1101000, which is 7 bits. In hexadecimal it is 68.

Q. How many Collatz steps does 104 take?

It reaches 1 in 12, peaking at 104 on the way.