The number 87232
87232 is a composite number with 28 divisors. Its prime factorisation is × 29 × 47. Divisors (28): 1, 2, 4, 8, 16, 29, 32, 47, 58, 64, 94, 116, 188, 232, 376, 464 … 87232.
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How to work it out
- 1
What is special about 87232: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
87232 is composite. Its prime factorisation is
- 3
The divisors add up to 182880; without 87232 itself that is 95648, so 87232 is abundant (95648 is more than 87232). Euler's totient φ(87232) = 41216 numbers up to 87232 share no factor with it.
- 4
The digits of 87232 add up to 22, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 71 steps to reach 1.
LaTeX source of the formulas on this page
\[ 87232 = 2^{6} \times 29 \times 47 \]87232 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 28 |
| Sum of divisors | 182880 |
| Euler totient φ(n) | 41216 |
| Square | 7609421824 |
| Cube | 663785084551168 |
| Square root | 295.350639 (= 8√1363) |
| Digit sum / digital root | 22 / 4 |
| Collatz steps to 1 | 71 |
| Scientific notation | 8.7232 × |
87232 in other forms
| Form | Value |
|---|---|
| In words | eighty-seven thousand two hundred and thirty-two |
| Binary (base 2) | 10101010011000000 |
| Octal (base 8) | 252300 |
| Hexadecimal (base 16) | 154C0 |
| Base 3 | 11102122211 |
| As time | 87232 seconds = 24 h 13 min 52 s |
Is 87232 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (87232 ÷ 2 = 43616) | 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 (87232 ÷ 4 = 21808) | 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 | 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 | Yes (87232 ÷ 8 = 10904) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 4) | 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 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 87232 a prime number?
No. 87232 = × 29 × 47, so it is divisible by 2.
What are the factors of 87232?
1, 2, 4, 8, 16, 29, 32, 47, 58, 64, 94, 116, 188, 232, 376, 464, 752, 928, 1363, 1504, 1856, 2726, 3008, 5452, 10904, 21808, 43616, 87232.
What is 87232 in binary?
10101010011000000 (hexadecimal 154C0, octal 252300).
What is the square root of 87232?
About 295.3506, exactly 8√1363.
Is 87232 divisible by 3?
No. Its digits add up to 22, which is not a multiple of 3.
What is special about the number 87232?
87232 is a happy number: repeatedly adding the squares of its digits reaches 1.