165
CLXV
10100101
The number 165 — factors and divisors
Deficient
165 = 3 × 5 × 11. It has 8 divisors, adding up to 288.
Its divisors, itself excluded, add up to less than the number.
Laid out as dots
It fits as 11 × 15. The more divisors, the closer to a square.
- Prime factors
- 3 × 5 × 11
- Divisors
- 1, 3, 5, 11, 15, 33, 55, 165
- Sum of divisors
- 288
- Sum without itself
- 123
- Coprime below it
- 80
- Digit sum
- 12
- Digital root
- 3
- Roman numeral
- CLXV
- Binary
- 10100101
- Octal
- 245
- Hexadecimal
- A5
- Base 36
- 4L
- Bits
- 8 bits
- Collatz steps
- 111 steps · peaks at 9,232
- Prime before
- 163
- Prime after
- 167
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 165 a prime number?
No. It breaks down into 3 × 5 × 11.
Q. What are the divisors of 165?
1, 3, 5, 11, 15, 33, 55, 165 — 8 divisors in all, adding up to 288.
Q. How is 165 written in binary?
10100101, which is 8 bits. In hexadecimal it is A5.
Q. How many Collatz steps does 165 take?
It reaches 1 in 111, peaking at 9,232 on the way.