The number 10997
10997 is a composite number with 4 divisors. Its prime factorisation is 7 × 1571. Divisors (4): 1, 7, 1571, 10997.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 10997: a semiprime: 7 × 1571, the product of two primes.
- 2
10997 is composite. Its prime factorisation is
- 3
The divisors add up to 12576; without 10997 itself that is 1579, so 10997 is deficient (1579 is less than 10997). Euler's totient φ(10997) = 9420 numbers up to 10997 share no factor with it.
- 4
The digits of 10997 add up to 26, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 42 steps to reach 1.
LaTeX source of the formulas on this page
\[ 10997 = 7 \times 1571 \]
10997 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 12576 |
| Euler totient φ(n) | 9420 |
| Square | 120934009 |
| Cube | 1329911296973 |
| Square root | 104.866582 |
| Digit sum / digital root | 26 / 8 |
| Collatz steps to 1 | 42 |
| Scientific notation | 1.0997 × |
10997 in other forms
| Form | Value |
|---|---|
| In words | ten thousand nine hundred and ninety-seven |
| Binary (base 2) | 10101011110101 |
| Octal (base 8) | 25365 |
| Hexadecimal (base 16) | 2AF5 |
| Base 3 | 120002022 |
| As time | 10997 seconds = 3 h 3 min 17 s |
Is 10997 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 2) | 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 5) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (10997 ÷ 7 = 1571) | 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 8) | 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 8) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 5) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 10997 a prime number?
No. 10997 = 7 × 1571, so it is divisible by 7.
What are the factors of 10997?
1, 7, 1571, 10997.
What is 10997 in binary?
10101011110101 (hexadecimal 2AF5, octal 25365).
What is the square root of 10997?
About 104.8666.
Is 10997 divisible by 3?
No. Its digits add up to 26, which is not a multiple of 3.
What is special about the number 10997?
10997 is a semiprime: 7 × 1571, the product of two primes.