The number 17997
17997 is a composite number with 8 divisors. Its prime factorisation is 3 × 7 × 857. Divisors (8): 1, 3, 7, 21, 857, 2571, 5999, 17997.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
17997 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
17997 is composite. Its prime factorisation is
- 3
The divisors add up to 27456; without 17997 itself that is 9459, so 17997 is deficient (9459 is less than 17997). Euler's totient φ(17997) = 10272 numbers up to 17997 share no factor with it.
- 4
The digits of 17997 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 48 steps to reach 1.
LaTeX source of the formulas on this page
\[ 17997 = 3 \times 7 \times 857 \]
17997 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 27456 |
| Euler totient φ(n) | 10272 |
| Square | 323892009 |
| Cube | 5829084485973 |
| Square root | 134.152898 |
| Digit sum / digital root | 33 / 6 |
| Collatz steps to 1 | 48 |
| Scientific notation | 1.7997 × |
17997 in other forms
| Form | Value |
|---|---|
| In words | seventeen thousand nine hundred and ninety-seven |
| Binary (base 2) | 100011001001101 |
| Octal (base 8) | 43115 |
| Hexadecimal (base 16) | 464D |
| Base 3 | 220200120 |
| As time | 17997 seconds = 4 h 59 min 57 s |
Is 17997 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 (17997 ÷ 3 = 5999) | 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 | Yes (17997 ÷ 7 = 2571) | 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 1) | 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 17997 a prime number?
No. 17997 = 3 × 7 × 857, so it is divisible by 3.
What are the factors of 17997?
1, 3, 7, 21, 857, 2571, 5999, 17997.
What is 17997 in binary?
100011001001101 (hexadecimal 464D, octal 43115).
What is the square root of 17997?
About 134.1529.
Is 17997 divisible by 3?
Yes. Its digits add up to 33, a multiple of 3.
What is special about the number 17997?
It is a composite number with 8 divisors.