The number 9687
9687 is a composite number with 4 divisors. Its prime factorisation is 3 × 3229. Divisors (4): 1, 3, 3229, 9687.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 9687: a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 3 × 3229, the product of two primes.
- 2
9687 is composite. Its prime factorisation is
- 3
The divisors add up to 12920; without 9687 itself that is 3233, so 9687 is deficient (3233 is less than 9687). Euler's totient φ(9687) = 6456 numbers up to 9687 share no factor with it.
- 4
The digits of 9687 add up to 30, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 166 steps to reach 1.
LaTeX source of the formulas on this page
\[ 9687 = 3 \times 3229 \]
9687 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 12920 |
| Euler totient φ(n) | 6456 |
| Square | 93837969 |
| Cube | 909008405703 |
| Square root | 98.422558 |
| Digit sum / digital root | 30 / 3 |
| Collatz steps to 1 | 166 |
| Scientific notation | 9.687 × |
9687 in other forms
| Form | Value |
|---|---|
| In words | nine thousand six hundred and eighty-seven |
| Binary (base 2) | 10010111010111 |
| Octal (base 8) | 22727 |
| Hexadecimal (base 16) | 25D7 |
| Base 3 | 111021210 |
| As time | 9687 seconds = 2 h 41 min 27 s |
Is 9687 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 (9687 ÷ 3 = 3229) | 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 6) | 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 | No (remainder 3) | 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 7) | 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 9687 a prime number?
No. 9687 = 3 × 3229, so it is divisible by 3.
What are the factors of 9687?
1, 3, 3229, 9687.
What is 9687 in binary?
10010111010111 (hexadecimal 25D7, octal 22727).
What is the square root of 9687?
About 98.4226.
Is 9687 divisible by 3?
Yes. Its digits add up to 30, a multiple of 3.
What is special about the number 9687?
9687 is a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 3 × 3229, the product of two primes.