The number 9997
9997 is a composite number with 4 divisors. Its prime factorisation is 13 × 769. Divisors (4): 1, 13, 769, 9997.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 9997: a semiprime: 13 × 769, the product of two primes.
- 2
9997 is composite. Its prime factorisation is
- 3
The divisors add up to 10780; without 9997 itself that is 783, so 9997 is deficient (783 is less than 9997). Euler's totient φ(9997) = 9216 numbers up to 9997 share no factor with it.
- 4
The digits of 9997 add up to 34, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 179 steps to reach 1.
LaTeX source of the formulas on this page
\[ 9997 = 13 \times 769 \]
9997 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 10780 |
| Euler totient φ(n) | 9216 |
| Square | 99940009 |
| Cube | 999100269973 |
| Square root | 99.984999 |
| Digit sum / digital root | 34 / 7 |
| Collatz steps to 1 | 179 |
| Scientific notation | 9.997 × |
9997 in other forms
| Form | Value |
|---|---|
| In words | nine thousand nine hundred and ninety-seven |
| Binary (base 2) | 10011100001101 |
| Octal (base 8) | 23415 |
| Hexadecimal (base 16) | 270D |
| Base 3 | 111201021 |
| As time | 9997 seconds = 2 h 46 min 37 s |
Is 9997 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 | No (remainder 1) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 1) | 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 1) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 1) | 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 5) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 7) | 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 9) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 1) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 9997 a prime number?
No. 9997 = 13 × 769, so it is divisible by 13.
What are the factors of 9997?
1, 13, 769, 9997.
What is 9997 in binary?
10011100001101 (hexadecimal 270D, octal 23415).
What is the square root of 9997?
About 99.9850.
Is 9997 divisible by 3?
No. Its digits add up to 34, which is not a multiple of 3.
What is special about the number 9997?
9997 is a semiprime: 13 × 769, the product of two primes.