6
VI
110
The number 6 — factors and divisors
Perfect
6 = 2 × 3. It has 4 divisors, adding up to 12.
Its divisors, itself excluded, add up to exactly the number.
Families it belongs to
Triangular
The running total of 1, 2, 3 … — the dots stack into a triangle.
Perfect
Add up its divisors except itself and you get the number back.
Laid out as dots
It fits as 2 × 3. The more divisors, the closer to a square.
- Prime factors
- 2 × 3
- Divisors
- 1, 2, 3, 6
- Sum of divisors
- 12
- Sum without itself
- 6
- Coprime below it
- 2
- Digit sum
- 6
- Digital root
- 6
- Roman numeral
- VI
- Binary
- 110
- Octal
- 6
- Hexadecimal
- 6
- Base 36
- 6
- Bits
- 3 bits
- Collatz steps
- 8 steps · peaks at 16
- Prime before
- 5
- Prime after
- 7
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 6 a prime number?
No. It breaks down into 2 × 3.
Q. What are the divisors of 6?
1, 2, 3, 6 — 4 divisors in all, adding up to 12.
Q. How is 6 written in binary?
110, which is 3 bits. In hexadecimal it is 6.
Q. How many Collatz steps does 6 take?
It reaches 1 in 8, peaking at 16 on the way.