The number 57462
57462 is a composite number with 16 divisors. Its prime factorisation is 2 × 3 × 61 × 157. Divisors (16): 1, 2, 3, 6, 61, 122, 157, 183, 314, 366, 471, 942, 9577, 19154, 28731, 57462.
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How to work it out
- 1
What is special about 57462: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
57462 is composite. Its prime factorisation is
- 3
The divisors add up to 117552; without 57462 itself that is 60090, so 57462 is abundant (60090 is more than 57462). Euler's totient φ(57462) = 18720 numbers up to 57462 share no factor with it.
- 4
The digits of 57462 add up to 24, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 153 steps to reach 1.
LaTeX source of the formulas on this page
\[ 57462 = 2 \times 3 \times 61 \times 157 \]
57462 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 117552 |
| Euler totient φ(n) | 18720 |
| Square | 3301881444 |
| Cube | 189732711535128 |
| Square root | 239.712328 |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 153 |
| Scientific notation | 5.7462 × |
57462 in other forms
| Form | Value |
|---|---|
| In words | fifty-seven thousand four hundred and sixty-two |
| Binary (base 2) | 1110000001110110 |
| Octal (base 8) | 160166 |
| Hexadecimal (base 16) | E076 |
| Base 3 | 2220211020 |
| As time | 57462 seconds = 15 h 57 min 42 s |
Is 57462 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (57462 ÷ 2 = 28731) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (57462 ÷ 3 = 19154) | 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 2) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (57462 ÷ 6 = 9577) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 6) | 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 6) | 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 9) | 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 57462 a prime number?
No. 57462 = 2 × 3 × 61 × 157, so it is divisible by 2.
What are the factors of 57462?
1, 2, 3, 6, 61, 122, 157, 183, 314, 366, 471, 942, 9577, 19154, 28731, 57462.
What is 57462 in binary?
1110000001110110 (hexadecimal E076, octal 160166).
What is the square root of 57462?
About 239.7123.
Is 57462 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 57462?
57462 is a happy number: repeatedly adding the squares of its digits reaches 1.