96
XCVI
1100000
The number 96 — factors and divisors
Abundant
96 = 2⁵ × 3. It has 12 divisors, adding up to 252.
Its divisors, itself excluded, add up to more than the number.
Laid out as dots
It fits as 8 × 12. The more divisors, the closer to a square.
- Prime factors
- 2⁵ × 3
- Divisors
- 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96
- Sum of divisors
- 252
- Sum without itself
- 156
- Coprime below it
- 32
- Digit sum
- 15
- Digital root
- 6
- Roman numeral
- XCVI
- Binary
- 1100000
- Octal
- 140
- Hexadecimal
- 60
- Base 36
- 2O
- Bits
- 7 bits
- Collatz steps
- 12 steps · peaks at 96
- Prime before
- 89
- Prime after
- 97
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 96 a prime number?
No. It breaks down into 2⁵ × 3.
Q. What are the divisors of 96?
1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96 — 12 divisors in all, adding up to 252.
Q. How is 96 written in binary?
1100000, which is 7 bits. In hexadecimal it is 60.
Q. How many Collatz steps does 96 take?
It reaches 1 in 12, peaking at 96 on the way.