The number 57012
57012 is a composite number with 12 divisors. Its prime factorisation is × 3 × 4751. Divisors (12): 1, 2, 3, 4, 6, 12, 4751, 9502, 14253, 19004, 28506, 57012.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 57012: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
57012 is composite. Its prime factorisation is
- 3
The divisors add up to 133056; without 57012 itself that is 76044, so 57012 is abundant (76044 is more than 57012). Euler's totient φ(57012) = 19000 numbers up to 57012 share no factor with it.
- 4
The digits of 57012 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 166 steps to reach 1.
LaTeX source of the formulas on this page
\[ 57012 = 2^{2} \times 3 \times 4751 \]57012 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 133056 |
| Euler totient φ(n) | 19000 |
| Square | 3250368144 |
| Cube | 185309988625728 |
| Square root | 238.771858 (= 2√14253) |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 166 |
| Scientific notation | 5.7012 × |
57012 in other forms
| Form | Value |
|---|---|
| In words | fifty-seven thousand and twelve |
| Binary (base 2) | 1101111010110100 |
| Octal (base 8) | 157264 |
| Hexadecimal (base 16) | DEB4 |
| Base 3 | 2220012120 |
| As time | 57012 seconds = 15 h 50 min 12 s |
Is 57012 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (57012 ÷ 2 = 28506) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (57012 ÷ 3 = 19004) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (57012 ÷ 4 = 14253) | 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 | Yes (57012 ÷ 6 = 9502) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 4) | 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 6) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 2) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 10) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (57012 ÷ 12 = 4751) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 57012 a prime number?
No. 57012 = × 3 × 4751, so it is divisible by 2.
What are the factors of 57012?
1, 2, 3, 4, 6, 12, 4751, 9502, 14253, 19004, 28506, 57012.
What is 57012 in binary?
1101111010110100 (hexadecimal DEB4, octal 157264).
What is the square root of 57012?
About 238.7719, exactly 2√14253.
Is 57012 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 57012?
57012 is a happy number: repeatedly adding the squares of its digits reaches 1.