The number 32972
32972 is a composite number with 6 divisors. Its prime factorisation is × 8243. Divisors (6): 1, 2, 4, 8243, 16486, 32972.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
32972 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
32972 is composite. Its prime factorisation is
- 3
The divisors add up to 57708; without 32972 itself that is 24736, so 32972 is deficient (24736 is less than 32972). Euler's totient φ(32972) = 16484 numbers up to 32972 share no factor with it.
- 4
The digits of 32972 add up to 23, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 67 steps to reach 1.
LaTeX source of the formulas on this page
\[ 32972 = 2^{2} \times 8243 \]32972 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 57708 |
| Euler totient φ(n) | 16484 |
| Square | 1087152784 |
| Cube | 35845601594048 |
| Square root | 181.581937 (= 2√8243) |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 67 |
| Scientific notation | 3.2972 × |
32972 in other forms
| Form | Value |
|---|---|
| In words | thirty-two thousand nine hundred and seventy-two |
| Binary (base 2) | 1000000011001100 |
| Octal (base 8) | 100314 |
| Hexadecimal (base 16) | 80CC |
| Base 3 | 1200020012 |
| As time | 32972 seconds = 9 h 9 min 32 s |
Is 32972 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (32972 ÷ 2 = 16486) | 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 | Yes (32972 ÷ 4 = 8243) | 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 2) | 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 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 5) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 2) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 5) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 32972 a prime number?
No. 32972 = × 8243, so it is divisible by 2.
What are the factors of 32972?
1, 2, 4, 8243, 16486, 32972.
What is 32972 in binary?
1000000011001100 (hexadecimal 80CC, octal 100314).
What is the square root of 32972?
About 181.5819, exactly 2√8243.
Is 32972 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 32972?
It is a composite number with 6 divisors.