The number 57018
57018 is a composite number with 32 divisors. Its prime factorisation is 2 × 3 × 13 × 17 × 43. Divisors (32): 1, 2, 3, 6, 13, 17, 26, 34, 39, 43, 51, 78, 86, 102, 129, 221 … 57018.
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How to work it out
- 1
What is special about 57018: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
57018 is composite. Its prime factorisation is
- 3
The divisors add up to 133056; without 57018 itself that is 76038, so 57018 is abundant (76038 is more than 57018). Euler's totient φ(57018) = 16128 numbers up to 57018 share no factor with it.
- 4
The digits of 57018 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 166 steps to reach 1.
LaTeX source of the formulas on this page
\[ 57018 = 2 \times 3 \times 13 \times 17 \times 43 \]
57018 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 133056 |
| Euler totient φ(n) | 16128 |
| Square | 3251052324 |
| Cube | 185368501409832 |
| Square root | 238.784422 |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 166 |
| Scientific notation | 5.7018 × |
57018 in other forms
| Form | Value |
|---|---|
| In words | fifty-seven thousand and eighteen |
| Binary (base 2) | 1101111010111010 |
| Octal (base 8) | 157272 |
| Hexadecimal (base 16) | DEBA |
| Base 3 | 2220012210 |
| As time | 57018 seconds = 15 h 50 min 18 s |
Is 57018 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (57018 ÷ 2 = 28509) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (57018 ÷ 3 = 19006) | 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 | No (remainder 3) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (57018 ÷ 6 = 9503) | 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 3) | 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 5) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 57018 a prime number?
No. 57018 = 2 × 3 × 13 × 17 × 43, so it is divisible by 2.
What are the factors of 57018?
1, 2, 3, 6, 13, 17, 26, 34, 39, 43, 51, 78, 86, 102, 129, 221, 258, 442, 559, 663, 731, 1118, 1326, 1462, 1677, 2193, 3354, 4386, 9503, 19006, 28509, 57018.
What is 57018 in binary?
1101111010111010 (hexadecimal DEBA, octal 157272).
What is the square root of 57018?
About 238.7844.
Is 57018 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 57018?
57018 is a happy number: repeatedly adding the squares of its digits reaches 1.