The number 87687
87687 is a composite number with 6 divisors. Its prime factorisation is × 9743. Divisors (6): 1, 3, 9, 9743, 29229, 87687.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 87687: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
87687 is composite. Its prime factorisation is
- 3
The divisors add up to 126672; without 87687 itself that is 38985, so 87687 is deficient (38985 is less than 87687). Euler's totient φ(87687) = 58452 numbers up to 87687 share no factor with it.
- 4
The digits of 87687 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 164 steps to reach 1.
LaTeX source of the formulas on this page
\[ 87687 = 3^{2} \times 9743 \]87687 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 126672 |
| Euler totient φ(n) | 58452 |
| Square | 7689009969 |
| Cube | 674226217151703 |
| Square root | 296.119908 (= 3√9743) |
| Digit sum / digital root | 36 / 9 |
| Collatz steps to 1 | 164 |
| Scientific notation | 8.7687 × |
87687 in other forms
| Form | Value |
|---|---|
| In words | eighty-seven thousand six hundred and eighty-seven |
| Binary (base 2) | 10101011010000111 |
| Octal (base 8) | 253207 |
| Hexadecimal (base 16) | 15687 |
| Base 3 | 11110021200 |
| As time | 87687 seconds = 24 h 21 min 27 s |
Is 87687 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (87687 ÷ 3 = 29229) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 3) | 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 3) | 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 | No (remainder 7) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (87687 ÷ 9 = 9743) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 7) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 6) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 3) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 87687 a prime number?
No. 87687 = × 9743, so it is divisible by 3.
What are the factors of 87687?
1, 3, 9, 9743, 29229, 87687.
What is 87687 in binary?
10101011010000111 (hexadecimal 15687, octal 253207).
What is the square root of 87687?
About 296.1199, exactly 3√9743.
Is 87687 divisible by 3?
Yes. Its digits add up to 36, a multiple of 3.
What is special about the number 87687?
87687 is a happy number: repeatedly adding the squares of its digits reaches 1.