162
CLXII
10100010
The number 162 — factors and divisors
Abundant
162 = 2 × 3⁴. It has 10 divisors, adding up to 363.
Its divisors, itself excluded, add up to more than the number.
Laid out as dots
It fits as 9 × 18. The more divisors, the closer to a square.
- Prime factors
- 2 × 3⁴
- Divisors
- 1, 2, 3, 6, 9, 18, 27, 54, 81, 162
- Sum of divisors
- 363
- Sum without itself
- 201
- Coprime below it
- 54
- Digit sum
- 9
- Digital root
- 9
- Roman numeral
- CLXII
- Binary
- 10100010
- Octal
- 242
- Hexadecimal
- A2
- Base 36
- 4I
- Bits
- 8 bits
- Collatz steps
- 23 steps · peaks at 244
- Prime before
- 157
- Prime after
- 163
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 162 a prime number?
No. It breaks down into 2 × 3⁴.
Q. What are the divisors of 162?
1, 2, 3, 6, 9, 18, 27, 54, 81, 162 — 10 divisors in all, adding up to 363.
Q. How is 162 written in binary?
10100010, which is 8 bits. In hexadecimal it is A2.
Q. How many Collatz steps does 162 take?
It reaches 1 in 23, peaking at 244 on the way.