The number 33496
33496 is a composite number with 16 divisors. Its prime factorisation is × 53 × 79. Divisors (16): 1, 2, 4, 8, 53, 79, 106, 158, 212, 316, 424, 632, 4187, 8374, 16748, 33496.
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How to work it out
- 1
33496 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
33496 is composite. Its prime factorisation is
- 3
The divisors add up to 64800; without 33496 itself that is 31304, so 33496 is deficient (31304 is less than 33496). Euler's totient φ(33496) = 16224 numbers up to 33496 share no factor with it.
- 4
The digits of 33496 add up to 25, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 67 steps to reach 1.
LaTeX source of the formulas on this page
\[ 33496 = 2^{3} \times 53 \times 79 \]33496 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 64800 |
| Euler totient φ(n) | 16224 |
| Square | 1121982016 |
| Cube | 37581909607936 |
| Square root | 183.019125 (= 2√8374) |
| Digit sum / digital root | 25 / 7 |
| Collatz steps to 1 | 67 |
| Scientific notation | 3.3496 × |
33496 in other forms
| Form | Value |
|---|---|
| In words | thirty-three thousand four hundred and ninety-six |
| Binary (base 2) | 1000001011011000 |
| Octal (base 8) | 101330 |
| Hexadecimal (base 16) | 82D8 |
| Base 3 | 1200221121 |
| As time | 33496 seconds = 9 h 18 min 16 s |
Is 33496 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (33496 ÷ 2 = 16748) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 1) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (33496 ÷ 4 = 8374) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 1) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 4) | 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 (33496 ÷ 8 = 4187) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 7) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 6) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 1) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 33496 a prime number?
No. 33496 = × 53 × 79, so it is divisible by 2.
What are the factors of 33496?
1, 2, 4, 8, 53, 79, 106, 158, 212, 316, 424, 632, 4187, 8374, 16748, 33496.
What is 33496 in binary?
1000001011011000 (hexadecimal 82D8, octal 101330).
What is the square root of 33496?
About 183.0191, exactly 2√8374.
Is 33496 divisible by 3?
No. Its digits add up to 25, which is not a multiple of 3.
What is special about the number 33496?
It is a composite number with 16 divisors.