136
CXXXVI
10001000
The number 136 — factors and divisors
Deficient
136 = 2³ × 17. It has 8 divisors, adding up to 270.
Its divisors, itself excluded, add up to less than the number.
Families it belongs to
Triangular
The running total of 1, 2, 3 … — the dots stack into a triangle.
Laid out as dots
It fits as 8 × 17. The more divisors, the closer to a square.
- Prime factors
- 2³ × 17
- Divisors
- 1, 2, 4, 8, 17, 34, 68, 136
- Sum of divisors
- 270
- Sum without itself
- 134
- Coprime below it
- 64
- Digit sum
- 10
- Digital root
- 1
- Roman numeral
- CXXXVI
- Binary
- 10001000
- Octal
- 210
- Hexadecimal
- 88
- Base 36
- 3S
- Bits
- 8 bits
- Collatz steps
- 15 steps · peaks at 136
- Prime before
- 131
- Prime after
- 137
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 136 a prime number?
No. It breaks down into 2³ × 17.
Q. What are the divisors of 136?
1, 2, 4, 8, 17, 34, 68, 136 — 8 divisors in all, adding up to 270.
Q. How is 136 written in binary?
10001000, which is 8 bits. In hexadecimal it is 88.
Q. How many Collatz steps does 136 take?
It reaches 1 in 15, peaking at 136 on the way.