The number 87616
87616 is a perfect square (296²). Its prime factorisation is × . Divisors (21): 1, 2, 4, 8, 16, 32, 37, 64, 74, 148, 296, 592, 1184, 1369, 2368, 2738 … 87616.
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How to work it out
- 1
What is special about 87616: a perfect square (296²).
- 2
87616 is composite. Its prime factorisation is
- 3
The divisors add up to 178689; without 87616 itself that is 91073, so 87616 is abundant (91073 is more than 87616). Euler's totient φ(87616) = 42624 numbers up to 87616 share no factor with it.
- 4
The digits of 87616 add up to 28, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 45 steps to reach 1.
LaTeX source of the formulas on this page
\[ 87616 = 2^{6} \times 37^{2} \]87616 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 21 |
| Sum of divisors | 178689 |
| Euler totient φ(n) | 42624 |
| Square | 7676563456 |
| Cube | 672589783760896 |
| Square root | 296 |
| Digit sum / digital root | 28 / 1 |
| Collatz steps to 1 | 45 |
| Scientific notation | 8.7616 × |
| Perfect power |
87616 in other forms
| Form | Value |
|---|---|
| In words | eighty-seven thousand six hundred and sixteen |
| Binary (base 2) | 10101011001000000 |
| Octal (base 8) | 253100 |
| Hexadecimal (base 16) | 15640 |
| Base 3 | 11110012001 |
| As time | 87616 seconds = 24 h 20 min 16 s |
Is 87616 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (87616 ÷ 2 = 43808) | 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 (87616 ÷ 4 = 21904) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 1) | 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 4) | 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 (87616 ÷ 8 = 10952) | 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 6) | 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 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 87616 a prime number?
No. 87616 = × , so it is divisible by 2.
What are the factors of 87616?
1, 2, 4, 8, 16, 32, 37, 64, 74, 148, 296, 592, 1184, 1369, 2368, 2738, 5476, 10952, 21904, 43808, 87616.
What is 87616 in binary?
10101011001000000 (hexadecimal 15640, octal 253100).
What is the square root of 87616?
296, because 296 × 296 = 87616.
Is 87616 divisible by 3?
No. Its digits add up to 28, which is not a multiple of 3.
What is special about the number 87616?
87616 is a perfect square (296²).