177
CLXXVII
10110001
The number 177 — factors and divisors
Deficient
177 = 3 × 59. It has 4 divisors, adding up to 240.
Its divisors, itself excluded, add up to less than the number.
Laid out as dots
It fits as 3 × 59. The more divisors, the closer to a square.
- Prime factors
- 3 × 59
- Divisors
- 1, 3, 59, 177
- Sum of divisors
- 240
- Sum without itself
- 63
- Coprime below it
- 116
- Digit sum
- 15
- Digital root
- 6
- Roman numeral
- CLXXVII
- Binary
- 10110001
- Octal
- 261
- Hexadecimal
- B1
- Base 36
- 4X
- Bits
- 8 bits
- Collatz steps
- 31 steps · peaks at 532
- 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 177 a prime number?
No. It breaks down into 3 × 59.
Q. What are the divisors of 177?
1, 3, 59, 177 — 4 divisors in all, adding up to 240.
Q. How is 177 written in binary?
10110001, which is 8 bits. In hexadecimal it is B1.
Q. How many Collatz steps does 177 take?
It reaches 1 in 31, peaking at 532 on the way.