The number 8997
8997 is a composite number with 4 divisors. Its prime factorisation is 3 × 2999. Divisors (4): 1, 3, 2999, 8997.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 8997: a semiprime: 3 × 2999, the product of two primes.
- 2
8997 is composite. Its prime factorisation is
- 3
The divisors add up to 12000; without 8997 itself that is 3003, so 8997 is deficient (3003 is less than 8997). Euler's totient φ(8997) = 5996 numbers up to 8997 share no factor with it.
- 4
The digits of 8997 add up to 33, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 47 steps to reach 1.
LaTeX source of the formulas on this page
\[ 8997 = 3 \times 2999 \]
8997 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 12000 |
| Euler totient φ(n) | 5996 |
| Square | 80946009 |
| Cube | 728271242973 |
| Square root | 94.852517 |
| Digit sum / digital root | 33 / 6 |
| Collatz steps to 1 | 47 |
| Scientific notation | 8.997 × |
8997 in other forms
| Form | Value |
|---|---|
| In words | eight thousand nine hundred and ninety-seven |
| Binary (base 2) | 10001100100101 |
| Octal (base 8) | 21445 |
| Hexadecimal (base 16) | 2325 |
| Base 3 | 110100020 |
| As time | 8997 seconds = 2 h 29 min 57 s |
Is 8997 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 (8997 ÷ 3 = 2999) | 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 3) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 2) | 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 6) | 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 10) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 8997 a prime number?
No. 8997 = 3 × 2999, so it is divisible by 3.
What are the factors of 8997?
1, 3, 2999, 8997.
What is 8997 in binary?
10001100100101 (hexadecimal 2325, octal 21445).
What is the square root of 8997?
About 94.8525.
Is 8997 divisible by 3?
Yes. Its digits add up to 33, a multiple of 3.
What is special about the number 8997?
8997 is a semiprime: 3 × 2999, the product of two primes.