176
CLXXVI
10110000
The number 176 — factors and divisors
Abundant
176 = 2⁴ × 11. It has 10 divisors, adding up to 372.
Its divisors, itself excluded, add up to more than the number.
Laid out as dots
It fits as 11 × 16. The more divisors, the closer to a square.
- Prime factors
- 2⁴ × 11
- Divisors
- 1, 2, 4, 8, 11, 16, 22, 44, 88, 176
- Sum of divisors
- 372
- Sum without itself
- 196
- Coprime below it
- 80
- Digit sum
- 14
- Digital root
- 5
- Roman numeral
- CLXXVI
- Binary
- 10110000
- Octal
- 260
- Hexadecimal
- B0
- Base 36
- 4W
- Bits
- 8 bits
- Collatz steps
- 18 steps · peaks at 176
- Prime before
- 173
- Prime after
- 179
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 176 a prime number?
No. It breaks down into 2⁴ × 11.
Q. What are the divisors of 176?
1, 2, 4, 8, 11, 16, 22, 44, 88, 176 — 10 divisors in all, adding up to 372.
Q. How is 176 written in binary?
10110000, which is 8 bits. In hexadecimal it is B0.
Q. How many Collatz steps does 176 take?
It reaches 1 in 18, peaking at 176 on the way.