The number 87696
87696 is a composite number with 80 divisors. Its prime factorisation is × × 7 × 29. Divisors (80): 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 16, 18, 21, 24, 27, 28 … 87696.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 87696: a Harshad number: divisible by its digit sum 36.
- 2
87696 is composite. Its prime factorisation is
- 3
The divisors add up to 297600; without 87696 itself that is 209904, so 87696 is abundant (209904 is more than 87696). Euler's totient φ(87696) = 24192 numbers up to 87696 share no factor with it.
- 4
The digits of 87696 add up to 36, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 45 steps to reach 1.
LaTeX source of the formulas on this page
\[ 87696 = 2^{4} \times 3^{3} \times 7 \times 29 \]87696 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 80 |
| Sum of divisors | 297600 |
| Euler totient φ(n) | 24192 |
| Square | 7690588416 |
| Cube | 674433841729536 |
| Square root | 296.135104 (= 12√609) |
| Digit sum / digital root | 36 / 9 |
| Collatz steps to 1 | 45 |
| Scientific notation | 8.7696 × |
87696 in other forms
| Form | Value |
|---|---|
| In words | eighty-seven thousand six hundred and ninety-six |
| Binary (base 2) | 10101011010010000 |
| Octal (base 8) | 253220 |
| Hexadecimal (base 16) | 15690 |
| Base 3 | 11110022000 |
| As time | 87696 seconds = 24 h 21 min 36 s |
Is 87696 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (87696 ÷ 2 = 43848) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (87696 ÷ 3 = 29232) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (87696 ÷ 4 = 21924) | 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 | Yes (87696 ÷ 6 = 14616) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (87696 ÷ 7 = 12528) | 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 (87696 ÷ 8 = 10962) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (87696 ÷ 9 = 9744) | 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 4) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (87696 ÷ 12 = 7308) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 87696 a prime number?
No. 87696 = × × 7 × 29, so it is divisible by 2.
What are the factors of 87696?
1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 16, 18, 21, 24, 27, 28, 29, 36, 42, 48, 54, 56, 58, 63, 72, 84, 87, 108, 112, 116, 126, 144, 168, 174, 189, 203, 216, 232, 252, 261, 336, 348, 378, 406, 432, 464, 504, 522, 609, 696, 756, 783, 812, 1008, 1044, 1218, 1392, 1512, 1566, 1624, 1827, 2088, 2436, 3024, 3132, 3248, 3654, 4176, 4872, 5481, 6264, 7308, 9744, 10962, 12528, 14616, 21924, 29232, 43848, 87696.
What is 87696 in binary?
10101011010010000 (hexadecimal 15690, octal 253220).
What is the square root of 87696?
About 296.1351, exactly 12√609.
Is 87696 divisible by 3?
Yes. Its digits add up to 36, a multiple of 3.
What is special about the number 87696?
87696 is a Harshad number: divisible by its digit sum 36.