The number 87332
87332 is a composite number with 12 divisors. Its prime factorisation is × 7 × 3119. Divisors (12): 1, 2, 4, 7, 14, 28, 3119, 6238, 12476, 21833, 43666, 87332.
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How to work it out
- 1
87332 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
87332 is composite. Its prime factorisation is
- 3
The divisors add up to 174720; without 87332 itself that is 87388, so 87332 is abundant (87388 is more than 87332). Euler's totient φ(87332) = 37416 numbers up to 87332 share no factor with it.
- 4
The digits of 87332 add up to 23, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 133 steps to reach 1.
LaTeX source of the formulas on this page
\[ 87332 = 2^{2} \times 7 \times 3119 \]87332 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 174720 |
| Euler totient φ(n) | 37416 |
| Square | 7626878224 |
| Cube | 666070529058368 |
| Square root | 295.519881 (= 2√21833) |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 133 |
| Scientific notation | 8.7332 × |
87332 in other forms
| Form | Value |
|---|---|
| In words | eighty-seven thousand three hundred and thirty-two |
| Binary (base 2) | 10101010100100100 |
| Octal (base 8) | 252444 |
| Hexadecimal (base 16) | 15524 |
| Base 3 | 11102210112 |
| As time | 87332 seconds = 24 h 15 min 32 s |
Is 87332 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (87332 ÷ 2 = 43666) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 2) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (87332 ÷ 4 = 21833) | 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 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (87332 ÷ 7 = 12476) | 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 5) | 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 3) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 87332 a prime number?
No. 87332 = × 7 × 3119, so it is divisible by 2.
What are the factors of 87332?
1, 2, 4, 7, 14, 28, 3119, 6238, 12476, 21833, 43666, 87332.
What is 87332 in binary?
10101010100100100 (hexadecimal 15524, octal 252444).
What is the square root of 87332?
About 295.5199, exactly 2√21833.
Is 87332 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 87332?
It is a composite number with 12 divisors.