The number 32973
32973 is a composite number with 8 divisors. Its prime factorisation is 3 × 29 × 379. Divisors (8): 1, 3, 29, 87, 379, 1137, 10991, 32973.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
32973 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
32973 is composite. Its prime factorisation is
- 3
The divisors add up to 45600; without 32973 itself that is 12627, so 32973 is deficient (12627 is less than 32973). Euler's totient φ(32973) = 21168 numbers up to 32973 share no factor with it.
- 4
The digits of 32973 add up to 24, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 67 steps to reach 1.
LaTeX source of the formulas on this page
\[ 32973 = 3 \times 29 \times 379 \]
32973 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 45600 |
| Euler totient φ(n) | 21168 |
| Square | 1087218729 |
| Cube | 35848863151317 |
| Square root | 181.584691 |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 67 |
| Scientific notation | 3.2973 × |
32973 in other forms
| Form | Value |
|---|---|
| In words | thirty-two thousand nine hundred and seventy-three |
| Binary (base 2) | 1000000011001101 |
| Octal (base 8) | 100315 |
| Hexadecimal (base 16) | 80CD |
| Base 3 | 1200020020 |
| As time | 32973 seconds = 9 h 9 min 33 s |
Is 32973 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 (32973 ÷ 3 = 10991) | 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 3) | 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 3) | 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 3) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 6) | 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 32973 a prime number?
No. 32973 = 3 × 29 × 379, so it is divisible by 3.
What are the factors of 32973?
1, 3, 29, 87, 379, 1137, 10991, 32973.
What is 32973 in binary?
1000000011001101 (hexadecimal 80CD, octal 100315).
What is the square root of 32973?
About 181.5847.
Is 32973 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 32973?
It is a composite number with 8 divisors.