74
LXXIV
1001010
The number 74 — factors and divisors
Deficient
74 = 2 × 37. It has 4 divisors, adding up to 114.
Its divisors, itself excluded, add up to less than the number.
Laid out as dots
It fits as 2 × 37. The more divisors, the closer to a square.
- Prime factors
- 2 × 37
- Divisors
- 1, 2, 37, 74
- Sum of divisors
- 114
- Sum without itself
- 40
- Coprime below it
- 36
- Digit sum
- 11
- Digital root
- 2
- Roman numeral
- LXXIV
- Binary
- 1001010
- Octal
- 112
- Hexadecimal
- 4A
- Base 36
- 22
- Bits
- 7 bits
- Collatz steps
- 22 steps · peaks at 112
- 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 74 a prime number?
No. It breaks down into 2 × 37.
Q. What are the divisors of 74?
1, 2, 37, 74 — 4 divisors in all, adding up to 114.
Q. How is 74 written in binary?
1001010, which is 7 bits. In hexadecimal it is 4A.
Q. How many Collatz steps does 74 take?
It reaches 1 in 22, peaking at 112 on the way.