The number 57972
57972 is a composite number with 12 divisors. Its prime factorisation is × 3 × 4831. Divisors (12): 1, 2, 3, 4, 6, 12, 4831, 9662, 14493, 19324, 28986, 57972.
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How to work it out
- 1
What is special about 57972: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
57972 is composite. Its prime factorisation is
- 3
The divisors add up to 135296; without 57972 itself that is 77324, so 57972 is abundant (77324 is more than 57972). Euler's totient φ(57972) = 19320 numbers up to 57972 share no factor with it.
- 4
The digits of 57972 add up to 30, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 122 steps to reach 1.
LaTeX source of the formulas on this page
\[ 57972 = 2^{2} \times 3 \times 4831 \]57972 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 135296 |
| Euler totient φ(n) | 19320 |
| Square | 3360752784 |
| Cube | 194829560394048 |
| Square root | 240.773753 (= 2√14493) |
| Digit sum / digital root | 30 / 3 |
| Collatz steps to 1 | 122 |
| Scientific notation | 5.7972 × |
57972 in other forms
| Form | Value |
|---|---|
| In words | fifty-seven thousand nine hundred and seventy-two |
| Binary (base 2) | 1110001001110100 |
| Octal (base 8) | 161164 |
| Hexadecimal (base 16) | E274 |
| Base 3 | 2221112010 |
| As time | 57972 seconds = 16 h 6 min 12 s |
Is 57972 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (57972 ÷ 2 = 28986) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (57972 ÷ 3 = 19324) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (57972 ÷ 4 = 14493) | 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 (57972 ÷ 6 = 9662) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 5) | 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 3) | 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 2) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (57972 ÷ 12 = 4831) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 57972 a prime number?
No. 57972 = × 3 × 4831, so it is divisible by 2.
What are the factors of 57972?
1, 2, 3, 4, 6, 12, 4831, 9662, 14493, 19324, 28986, 57972.
What is 57972 in binary?
1110001001110100 (hexadecimal E274, octal 161164).
What is the square root of 57972?
About 240.7738, exactly 2√14493.
Is 57972 divisible by 3?
Yes. Its digits add up to 30, a multiple of 3.
What is special about the number 57972?
57972 is a happy number: repeatedly adding the squares of its digits reaches 1.