The number 57232
57232 is a composite number with 30 divisors. Its prime factorisation is × × 73. Divisors (30): 1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 73, 98, 112, 146, 196, 292 … 57232.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 57232: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
57232 is composite. Its prime factorisation is
- 3
The divisors add up to 130758; without 57232 itself that is 73526, so 57232 is abundant (73526 is more than 57232). Euler's totient φ(57232) = 24192 numbers up to 57232 share no factor with it.
- 4
The digits of 57232 add up to 19, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 78 steps to reach 1.
LaTeX source of the formulas on this page
\[ 57232 = 2^{4} \times 7^{2} \times 73 \]57232 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 30 |
| Sum of divisors | 130758 |
| Euler totient φ(n) | 24192 |
| Square | 3275501824 |
| Cube | 187463520391168 |
| Square root | 239.232105 (= 28√73) |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 78 |
| Scientific notation | 5.7232 × |
57232 in other forms
| Form | Value |
|---|---|
| In words | fifty-seven thousand two hundred and thirty-two |
| Binary (base 2) | 1101111110010000 |
| Octal (base 8) | 157620 |
| Hexadecimal (base 16) | DF90 |
| Base 3 | 2220111201 |
| As time | 57232 seconds = 15 h 53 min 52 s |
Is 57232 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (57232 ÷ 2 = 28616) | 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 (57232 ÷ 4 = 14308) | 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 | No (remainder 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (57232 ÷ 7 = 8176) | 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 | Yes (57232 ÷ 8 = 7154) | 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 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 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 57232 a prime number?
No. 57232 = × × 73, so it is divisible by 2.
What are the factors of 57232?
1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 73, 98, 112, 146, 196, 292, 392, 511, 584, 784, 1022, 1168, 2044, 3577, 4088, 7154, 8176, 14308, 28616, 57232.
What is 57232 in binary?
1101111110010000 (hexadecimal DF90, octal 157620).
What is the square root of 57232?
About 239.2321, exactly 28√73.
Is 57232 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 57232?
57232 is a happy number: repeatedly adding the squares of its digits reaches 1.