35
XXXV
100011
The number 35 — factors and divisors
Deficient
35 = 5 × 7. 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 5 × 7. The more divisors, the closer to a square.
- Prime factors
- 5 × 7
- Divisors
- 1, 5, 7, 35
- Sum of divisors
- 48
- Sum without itself
- 13
- Coprime below it
- 24
- Digit sum
- 8
- Digital root
- 8
- Roman numeral
- XXXV
- Binary
- 100011
- Octal
- 43
- Hexadecimal
- 23
- Base 36
- Z
- Bits
- 6 bits
- Collatz steps
- 13 steps · peaks at 160
- 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 35 a prime number?
No. It breaks down into 5 × 7.
Q. What are the divisors of 35?
1, 5, 7, 35 — 4 divisors in all, adding up to 48.
Q. How is 35 written in binary?
100011, which is 6 bits. In hexadecimal it is 23.
Q. How many Collatz steps does 35 take?
It reaches 1 in 13, peaking at 160 on the way.