88
LXXXVIII
1011000
The number 88 — factors and divisors
Abundant
88 = 2³ × 11. It has 8 divisors, adding up to 180.
Its divisors, itself excluded, add up to more than the number.
Laid out as dots
It fits as 8 × 11. The more divisors, the closer to a square.
- Prime factors
- 2³ × 11
- Divisors
- 1, 2, 4, 8, 11, 22, 44, 88
- Sum of divisors
- 180
- Sum without itself
- 92
- Coprime below it
- 40
- Digit sum
- 16
- Digital root
- 7
- Roman numeral
- LXXXVIII
- Binary
- 1011000
- Octal
- 130
- Hexadecimal
- 58
- Base 36
- 2G
- Bits
- 7 bits
- Collatz steps
- 17 steps · peaks at 88
- Prime before
- 83
- Prime after
- 89
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 88 a prime number?
No. It breaks down into 2³ × 11.
Q. What are the divisors of 88?
1, 2, 4, 8, 11, 22, 44, 88 — 8 divisors in all, adding up to 180.
Q. How is 88 written in binary?
1011000, which is 7 bits. In hexadecimal it is 58.
Q. How many Collatz steps does 88 take?
It reaches 1 in 17, peaking at 88 on the way.