The number 87132
87132 is a composite number with 24 divisors. Its prime factorisation is × 3 × 53 × 137. Divisors (24): 1, 2, 3, 4, 6, 12, 53, 106, 137, 159, 212, 274, 318, 411, 548, 636 … 87132.
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How to work it out
- 1
87132 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
87132 is composite. Its prime factorisation is
- 3
The divisors add up to 208656; without 87132 itself that is 121524, so 87132 is abundant (121524 is more than 87132). Euler's totient φ(87132) = 28288 numbers up to 87132 share no factor with it.
- 4
The digits of 87132 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 71 steps to reach 1.
LaTeX source of the formulas on this page
\[ 87132 = 2^{2} \times 3 \times 53 \times 137 \]87132 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 208656 |
| Euler totient φ(n) | 28288 |
| Square | 7591985424 |
| Cube | 661504873963968 |
| Square root | 295.181300 (= 2√21783) |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 71 |
| Scientific notation | 8.7132 × |
87132 in other forms
| Form | Value |
|---|---|
| In words | eighty-seven thousand one hundred and thirty-two |
| Binary (base 2) | 10101010001011100 |
| Octal (base 8) | 252134 |
| Hexadecimal (base 16) | 1545C |
| Base 3 | 11102112010 |
| As time | 87132 seconds = 24 h 12 min 12 s |
Is 87132 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (87132 ÷ 2 = 43566) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (87132 ÷ 3 = 29044) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (87132 ÷ 4 = 21783) | 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 (87132 ÷ 6 = 14522) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 3) | 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 1) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (87132 ÷ 12 = 7261) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 87132 a prime number?
No. 87132 = × 3 × 53 × 137, so it is divisible by 2.
What are the factors of 87132?
1, 2, 3, 4, 6, 12, 53, 106, 137, 159, 212, 274, 318, 411, 548, 636, 822, 1644, 7261, 14522, 21783, 29044, 43566, 87132.
What is 87132 in binary?
10101010001011100 (hexadecimal 1545C, octal 252134).
What is the square root of 87132?
About 295.1813, exactly 2√21783.
Is 87132 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 87132?
It is a composite number with 24 divisors.