The number 33272
33272 is a composite number with 8 divisors. Its prime factorisation is × 4159. Divisors (8): 1, 2, 4, 8, 4159, 8318, 16636, 33272.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
33272 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
33272 is composite. Its prime factorisation is
- 3
The divisors add up to 62400; without 33272 itself that is 29128, so 33272 is deficient (29128 is less than 33272). Euler's totient φ(33272) = 16632 numbers up to 33272 share no factor with it.
- 4
The digits of 33272 add up to 17, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 54 steps to reach 1.
LaTeX source of the formulas on this page
\[ 33272 = 2^{3} \times 4159 \]33272 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 62400 |
| Euler totient φ(n) | 16632 |
| Square | 1107025984 |
| Cube | 36832968539648 |
| Square root | 182.406140 (= 2√8318) |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 54 |
| Scientific notation | 3.3272 × |
33272 in other forms
| Form | Value |
|---|---|
| In words | thirty-three thousand two hundred and seventy-two |
| Binary (base 2) | 1000000111111000 |
| Octal (base 8) | 100770 |
| Hexadecimal (base 16) | 81F8 |
| Base 3 | 1200122022 |
| As time | 33272 seconds = 9 h 14 min 32 s |
Is 33272 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (33272 ÷ 2 = 16636) | 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 (33272 ÷ 4 = 8318) | 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 1) | 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 | Yes (33272 ÷ 8 = 4159) | 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 2) | 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 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 33272 a prime number?
No. 33272 = × 4159, so it is divisible by 2.
What are the factors of 33272?
1, 2, 4, 8, 4159, 8318, 16636, 33272.
What is 33272 in binary?
1000000111111000 (hexadecimal 81F8, octal 100770).
What is the square root of 33272?
About 182.4061, exactly 2√8318.
Is 33272 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 33272?
It is a composite number with 8 divisors.