The number 357
357 is a composite number with 8 divisors. Its prime factorisation is 3 × 7 × 17. Divisors (8): 1, 3, 7, 17, 21, 51, 119, 357.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
357 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
357 is composite. Its prime factorisation is
- 3
The divisors add up to 576; without 357 itself that is 219, so 357 is deficient (219 is less than 357). Euler's totient φ(357) = 192 numbers up to 357 share no factor with it.
- 4
The digits of 357 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 32 steps to reach 1.
LaTeX source of the formulas on this page
\[ 357 = 3 \times 7 \times 17 \]
357 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 576 |
| Euler totient φ(n) | 192 |
| Square | 127449 |
| Cube | 45499293 |
| Square root | 18.894444 |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 32 |
| Scientific notation | 3.57 × |
357 in other forms
| Form | Value |
|---|---|
| In words | three hundred and fifty-seven |
| Roman numerals | CCCLVII |
| Binary (base 2) | 101100101 |
| Octal (base 8) | 545 |
| Hexadecimal (base 16) | 165 |
| Base 3 | 111020 |
| As time | 357 seconds = 5 min 57 s |
Is 357 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 (357 ÷ 3 = 119) | 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 | Yes (357 ÷ 7 = 51) | 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 5) | 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 5) | 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 357 a prime number?
No. 357 = 3 × 7 × 17, so it is divisible by 3.
What are the factors of 357?
1, 3, 7, 17, 21, 51, 119, 357.
What is 357 in binary?
101100101 (hexadecimal 165, octal 545).
What is the square root of 357?
About 18.8944.
What is 357 in Roman numerals?
CCCLVII.
Is 357 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 357?
It is a composite number with 8 divisors.