The number 33992
33992 is a composite number with 16 divisors. Its prime factorisation is × 7 × 607. Divisors (16): 1, 2, 4, 7, 8, 14, 28, 56, 607, 1214, 2428, 4249, 4856, 8498, 16996, 33992.
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How to work it out
- 1
33992 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
33992 is composite. Its prime factorisation is
- 3
The divisors add up to 72960; without 33992 itself that is 38968, so 33992 is abundant (38968 is more than 33992). Euler's totient φ(33992) = 14544 numbers up to 33992 share no factor with it.
- 4
The digits of 33992 add up to 26, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 129 steps to reach 1.
LaTeX source of the formulas on this page
\[ 33992 = 2^{3} \times 7 \times 607 \]33992 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 72960 |
| Euler totient φ(n) | 14544 |
| Square | 1155456064 |
| Cube | 39276262527488 |
| Square root | 184.369195 (= 2√8498) |
| Digit sum / digital root | 26 / 8 |
| Collatz steps to 1 | 129 |
| Scientific notation | 3.3992 × |
33992 in other forms
| Form | Value |
|---|---|
| In words | thirty-three thousand nine hundred and ninety-two |
| Binary (base 2) | 1000010011001000 |
| Octal (base 8) | 102310 |
| Hexadecimal (base 16) | 84C8 |
| Base 3 | 1201121222 |
| As time | 33992 seconds = 9 h 26 min 32 s |
Is 33992 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (33992 ÷ 2 = 16996) | 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 (33992 ÷ 4 = 8498) | 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 | Yes (33992 ÷ 7 = 4856) | 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 (33992 ÷ 8 = 4249) | 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 2) | 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 33992 a prime number?
No. 33992 = × 7 × 607, so it is divisible by 2.
What are the factors of 33992?
1, 2, 4, 7, 8, 14, 28, 56, 607, 1214, 2428, 4249, 4856, 8498, 16996, 33992.
What is 33992 in binary?
1000010011001000 (hexadecimal 84C8, octal 102310).
What is the square root of 33992?
About 184.3692, exactly 2√8498.
Is 33992 divisible by 3?
No. Its digits add up to 26, which is not a multiple of 3.
What is special about the number 33992?
It is a composite number with 16 divisors.