The number 57970
57970 is a triangular number: 1 + 2 + … + 340 = 57970. Its prime factorisation is 2 × 5 × 11 × 17 × 31. Divisors (32): 1, 2, 5, 10, 11, 17, 22, 31, 34, 55, 62, 85, 110, 155, 170, 187 … 57970.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 57970: a triangular number: 1 + 2 + … + 340 = 57970.
- 2
57970 is composite. Its prime factorisation is
- 3
The divisors add up to 124416; without 57970 itself that is 66446, so 57970 is abundant (66446 is more than 57970). Euler's totient φ(57970) = 19200 numbers up to 57970 share no factor with it.
- 4
The digits of 57970 add up to 28, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 179 steps to reach 1.
LaTeX source of the formulas on this page
\[ 57970 = 2 \times 5 \times 11 \times 17 \times 31 \]
57970 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 124416 |
| Euler totient φ(n) | 19200 |
| Square | 3360520900 |
| Cube | 194809396573000 |
| Square root | 240.769599 |
| Digit sum / digital root | 28 / 1 |
| Collatz steps to 1 | 179 |
| Scientific notation | 5.797 × |
57970 in other forms
| Form | Value |
|---|---|
| In words | fifty-seven thousand nine hundred and seventy |
| Binary (base 2) | 1110001001110010 |
| Octal (base 8) | 161162 |
| Hexadecimal (base 16) | E272 |
| Base 3 | 2221112001 |
| As time | 57970 seconds = 16 h 6 min 10 s |
Is 57970 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (57970 ÷ 2 = 28985) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 1) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (57970 ÷ 5 = 11594) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 3) | 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 2) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 1) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (57970 ÷ 10 = 5797) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (57970 ÷ 11 = 5270) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 10) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 57970 a prime number?
No. 57970 = 2 × 5 × 11 × 17 × 31, so it is divisible by 2.
What are the factors of 57970?
1, 2, 5, 10, 11, 17, 22, 31, 34, 55, 62, 85, 110, 155, 170, 187, 310, 341, 374, 527, 682, 935, 1054, 1705, 1870, 2635, 3410, 5270, 5797, 11594, 28985, 57970.
What is 57970 in binary?
1110001001110010 (hexadecimal E272, octal 161162).
What is the square root of 57970?
About 240.7696.
Is 57970 divisible by 3?
No. Its digits add up to 28, which is not a multiple of 3.
What is special about the number 57970?
57970 is a triangular number: 1 + 2 + … + 340 = 57970.