The number 32997
32997 is a composite number with 8 divisors. Its prime factorisation is 3 × 17 × 647. Divisors (8): 1, 3, 17, 51, 647, 1941, 10999, 32997.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
32997 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
32997 is composite. Its prime factorisation is
- 3
The divisors add up to 46656; without 32997 itself that is 13659, so 32997 is deficient (13659 is less than 32997). Euler's totient φ(32997) = 20672 numbers up to 32997 share no factor with it.
- 4
The digits of 32997 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 67 steps to reach 1.
LaTeX source of the formulas on this page
\[ 32997 = 3 \times 17 \times 647 \]
32997 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 46656 |
| Euler totient φ(n) | 20672 |
| Square | 1088802009 |
| Cube | 35927199890973 |
| Square root | 181.650764 |
| Digit sum / digital root | 30 / 3 |
| Collatz steps to 1 | 67 |
| Scientific notation | 3.2997 × |
32997 in other forms
| Form | Value |
|---|---|
| In words | thirty-two thousand nine hundred and ninety-seven |
| Binary (base 2) | 1000000011100101 |
| Octal (base 8) | 100345 |
| Hexadecimal (base 16) | 80E5 |
| Base 3 | 1200021010 |
| As time | 32997 seconds = 9 h 9 min 57 s |
Is 32997 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 (32997 ÷ 3 = 10999) | 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 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 5) | 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 8) | 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 32997 a prime number?
No. 32997 = 3 × 17 × 647, so it is divisible by 3.
What are the factors of 32997?
1, 3, 17, 51, 647, 1941, 10999, 32997.
What is 32997 in binary?
1000000011100101 (hexadecimal 80E5, octal 100345).
What is the square root of 32997?
About 181.6508.
Is 32997 divisible by 3?
Yes. Its digits add up to 30, a multiple of 3.
What is special about the number 32997?
It is a composite number with 8 divisors.