The number 57988
57988 is a composite number with 24 divisors. Its prime factorisation is × 7 × 19 × 109. Divisors (24): 1, 2, 4, 7, 14, 19, 28, 38, 76, 109, 133, 218, 266, 436, 532, 763 … 57988.
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How to work it out
- 1
57988 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
57988 is composite. Its prime factorisation is
- 3
The divisors add up to 123200; without 57988 itself that is 65212, so 57988 is abundant (65212 is more than 57988). Euler's totient φ(57988) = 23328 numbers up to 57988 share no factor with it.
- 4
The digits of 57988 add up to 37, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 135 steps to reach 1.
LaTeX source of the formulas on this page
\[ 57988 = 2^{2} \times 7 \times 19 \times 109 \]57988 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 123200 |
| Euler totient φ(n) | 23328 |
| Square | 3362608144 |
| Cube | 194990921054272 |
| Square root | 240.806977 (= 2√14497) |
| Digit sum / digital root | 37 / 1 |
| Collatz steps to 1 | 135 |
| Scientific notation | 5.7988 × |
57988 in other forms
| Form | Value |
|---|---|
| In words | fifty-seven thousand nine hundred and eighty-eight |
| Binary (base 2) | 1110001010000100 |
| Octal (base 8) | 161204 |
| Hexadecimal (base 16) | E284 |
| Base 3 | 2221112201 |
| As time | 57988 seconds = 16 h 6 min 28 s |
Is 57988 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (57988 ÷ 2 = 28994) | 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 | Yes (57988 ÷ 4 = 14497) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 3) | 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 | Yes (57988 ÷ 7 = 8284) | 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 4) | 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 | No (remainder 8) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 7) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 57988 a prime number?
No. 57988 = × 7 × 19 × 109, so it is divisible by 2.
What are the factors of 57988?
1, 2, 4, 7, 14, 19, 28, 38, 76, 109, 133, 218, 266, 436, 532, 763, 1526, 2071, 3052, 4142, 8284, 14497, 28994, 57988.
What is 57988 in binary?
1110001010000100 (hexadecimal E284, octal 161204).
What is the square root of 57988?
About 240.8070, exactly 2√14497.
Is 57988 divisible by 3?
No. Its digits add up to 37, which is not a multiple of 3.
What is special about the number 57988?
It is a composite number with 24 divisors.