The number 33492
33492 is a composite number with 12 divisors. Its prime factorisation is × 3 × 2791. Divisors (12): 1, 2, 3, 4, 6, 12, 2791, 5582, 8373, 11164, 16746, 33492.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
33492 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
33492 is composite. Its prime factorisation is
- 3
The divisors add up to 78176; without 33492 itself that is 44684, so 33492 is abundant (44684 is more than 33492). Euler's totient φ(33492) = 11160 numbers up to 33492 share no factor with it.
- 4
The digits of 33492 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 129 steps to reach 1.
LaTeX source of the formulas on this page
\[ 33492 = 2^{2} \times 3 \times 2791 \]33492 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 78176 |
| Euler totient φ(n) | 11160 |
| Square | 1121714064 |
| Cube | 37568447431488 |
| Square root | 183.008197 (= 2√8373) |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 129 |
| Scientific notation | 3.3492 × |
33492 in other forms
| Form | Value |
|---|---|
| In words | thirty-three thousand four hundred and ninety-two |
| Binary (base 2) | 1000001011010100 |
| Octal (base 8) | 101324 |
| Hexadecimal (base 16) | 82D4 |
| Base 3 | 1200221110 |
| As time | 33492 seconds = 9 h 18 min 12 s |
Is 33492 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (33492 ÷ 2 = 16746) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (33492 ÷ 3 = 11164) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (33492 ÷ 4 = 8373) | 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 | Yes (33492 ÷ 6 = 5582) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 4) | 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 3) | 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 | Yes (33492 ÷ 12 = 2791) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 33492 a prime number?
No. 33492 = × 3 × 2791, so it is divisible by 2.
What are the factors of 33492?
1, 2, 3, 4, 6, 12, 2791, 5582, 8373, 11164, 16746, 33492.
What is 33492 in binary?
1000001011010100 (hexadecimal 82D4, octal 101324).
What is the square root of 33492?
About 183.0082, exactly 2√8373.
Is 33492 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 33492?
It is a composite number with 12 divisors.