33
XXXIII
100001
The number 33 — factors and divisors
Deficient
33 = 3 × 11. It has 4 divisors, adding up to 48.
Its divisors, itself excluded, add up to less than the number.
Laid out as dots
It fits as 3 × 11. The more divisors, the closer to a square.
- Prime factors
- 3 × 11
- Divisors
- 1, 3, 11, 33
- Sum of divisors
- 48
- Sum without itself
- 15
- Coprime below it
- 20
- Digit sum
- 6
- Digital root
- 6
- Roman numeral
- XXXIII
- Binary
- 100001
- Octal
- 41
- Hexadecimal
- 21
- Base 36
- X
- Bits
- 6 bits
- Collatz steps
- 26 steps · peaks at 100
- Prime before
- 31
- Prime after
- 37
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 33 a prime number?
No. It breaks down into 3 × 11.
Q. What are the divisors of 33?
1, 3, 11, 33 — 4 divisors in all, adding up to 48.
Q. How is 33 written in binary?
100001, which is 6 bits. In hexadecimal it is 21.
Q. How many Collatz steps does 33 take?
It reaches 1 in 26, peaking at 100 on the way.