The number 33796
33796 is a composite number with 24 divisors. Its prime factorisation is × 7 × 17 × 71. Divisors (24): 1, 2, 4, 7, 14, 17, 28, 34, 68, 71, 119, 142, 238, 284, 476, 497 … 33796.
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How to work it out
- 1
What is special about 33796: a Harshad number: divisible by its digit sum 28.
- 2
33796 is composite. Its prime factorisation is
- 3
The divisors add up to 72576; without 33796 itself that is 38780, so 33796 is abundant (38780 is more than 33796). Euler's totient φ(33796) = 13440 numbers up to 33796 share no factor with it.
- 4
The digits of 33796 add up to 28, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 59 steps to reach 1.
LaTeX source of the formulas on this page
\[ 33796 = 2^{2} \times 7 \times 17 \times 71 \]33796 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 72576 |
| Euler totient φ(n) | 13440 |
| Square | 1142169616 |
| Cube | 38600764342336 |
| Square root | 183.836884 (= 2√8449) |
| Digit sum / digital root | 28 / 1 |
| Collatz steps to 1 | 59 |
| Scientific notation | 3.3796 × |
33796 in other forms
| Form | Value |
|---|---|
| In words | thirty-three thousand seven hundred and ninety-six |
| Binary (base 2) | 1000010000000100 |
| Octal (base 8) | 102004 |
| Hexadecimal (base 16) | 8404 |
| Base 3 | 1201100201 |
| As time | 33796 seconds = 9 h 23 min 16 s |
Is 33796 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (33796 ÷ 2 = 16898) | 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 (33796 ÷ 4 = 8449) | 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 | Yes (33796 ÷ 7 = 4828) | 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 1) | 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 4) | 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 33796 a prime number?
No. 33796 = × 7 × 17 × 71, so it is divisible by 2.
What are the factors of 33796?
1, 2, 4, 7, 14, 17, 28, 34, 68, 71, 119, 142, 238, 284, 476, 497, 994, 1207, 1988, 2414, 4828, 8449, 16898, 33796.
What is 33796 in binary?
1000010000000100 (hexadecimal 8404, octal 102004).
What is the square root of 33796?
About 183.8369, exactly 2√8449.
Is 33796 divisible by 3?
No. Its digits add up to 28, which is not a multiple of 3.
What is special about the number 33796?
33796 is a Harshad number: divisible by its digit sum 28.