60
LX
111100
The number 60 — factors and divisors
Abundant
60 = 2² × 3 × 5. It has 12 divisors, adding up to 168.
Its divisors, itself excluded, add up to more than the number.
Laid out as dots
It fits as 6 × 10. The more divisors, the closer to a square.
- Prime factors
- 2² × 3 × 5
- Divisors
- 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60
- Sum of divisors
- 168
- Sum without itself
- 108
- Coprime below it
- 16
- Digit sum
- 6
- Digital root
- 6
- Roman numeral
- LX
- Binary
- 111100
- Octal
- 74
- Hexadecimal
- 3C
- Base 36
- 1O
- Bits
- 6 bits
- Collatz steps
- 19 steps · peaks at 160
- Prime before
- 59
- Prime after
- 61
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.
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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 60 a prime number?
No. It breaks down into 2² × 3 × 5.
Q. What are the divisors of 60?
1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60 — 12 divisors in all, adding up to 168.
Q. How is 60 written in binary?
111100, which is 6 bits. In hexadecimal it is 3C.
Q. How many Collatz steps does 60 take?
It reaches 1 in 19, peaking at 160 on the way.