76
LXXVI
1001100
The number 76 — factors and divisors
Deficient
76 = 2² × 19. It has 6 divisors, adding up to 140.
Its divisors, itself excluded, add up to less than the number.
Laid out as dots
It fits as 4 × 19. The more divisors, the closer to a square.
- Prime factors
- 2² × 19
- Divisors
- 1, 2, 4, 19, 38, 76
- Sum of divisors
- 140
- Sum without itself
- 64
- Coprime below it
- 36
- Digit sum
- 13
- Digital root
- 4
- Roman numeral
- LXXVI
- Binary
- 1001100
- Octal
- 114
- Hexadecimal
- 4C
- Base 36
- 24
- Bits
- 7 bits
- Collatz steps
- 22 steps · peaks at 88
- Prime before
- 73
- Prime after
- 79
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 76 a prime number?
No. It breaks down into 2² × 19.
Q. What are the divisors of 76?
1, 2, 4, 19, 38, 76 — 6 divisors in all, adding up to 140.
Q. How is 76 written in binary?
1001100, which is 7 bits. In hexadecimal it is 4C.
Q. How many Collatz steps does 76 take?
It reaches 1 in 22, peaking at 88 on the way.