The number 177
177 is a composite number with 4 divisors. Its prime factorisation is 3 × 59. Divisors (4): 1, 3, 59, 177.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 177: a semiprime: 3 × 59, the product of two primes.
- 2
177 is composite. Its prime factorisation is
- 3
The divisors add up to 240; without 177 itself that is 63, so 177 is deficient (63 is less than 177). Euler's totient φ(177) = 116 numbers up to 177 share no factor with it.
- 4
The digits of 177 add up to 15, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 31 steps to reach 1.
LaTeX source of the formulas on this page
\[ 177 = 3 \times 59 \]
177 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 240 |
| Euler totient φ(n) | 116 |
| Square | 31329 |
| Cube | 5545233 |
| Square root | 13.304135 |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 31 |
| Scientific notation | 1.77 × |
177 in other forms
| Form | Value |
|---|---|
| In words | one hundred and seventy-seven |
| Roman numerals | CLXXVII |
| Binary (base 2) | 10110001 |
| Octal (base 8) | 261 |
| Hexadecimal (base 16) | B1 |
| Base 3 | 20120 |
| As time | 177 seconds = 2 min 57 s |
Is 177 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (177 ÷ 3 = 59) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 1) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 2) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 3) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 2) | A number is divisible by 7 if double the last digit and subtract it from the rest: the result is a multiple of 7. |
| 8 | No (remainder 1) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 6) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 7) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 1) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 177 a prime number?
No. 177 = 3 × 59, so it is divisible by 3.
What are the factors of 177?
1, 3, 59, 177.
What is 177 in binary?
10110001 (hexadecimal B1, octal 261).
What is the square root of 177?
About 13.3041.
What is 177 in Roman numerals?
CLXXVII.
Is 177 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 177?
177 is a semiprime: 3 × 59, the product of two primes.