The number 29696
29696 is a composite number with 22 divisors. Its prime factorisation is × 29. Divisors (22): 1, 2, 4, 8, 16, 29, 32, 58, 64, 116, 128, 232, 256, 464, 512, 928 … 29696.
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How to work it out
- 1
What is special about 29696: a Harshad number: divisible by its digit sum 32.
- 2
29696 is composite. Its prime factorisation is
- 3
The divisors add up to 61410; without 29696 itself that is 31714, so 29696 is abundant (31714 is more than 29696). Euler's totient φ(29696) = 14336 numbers up to 29696 share no factor with it.
- 4
The digits of 29696 add up to 32, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 28 steps to reach 1.
LaTeX source of the formulas on this page
\[ 29696 = 2^{10} \times 29 \]29696 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 22 |
| Sum of divisors | 61410 |
| Euler totient φ(n) | 14336 |
| Square | 881852416 |
| Cube | 26187489345536 |
| Square root | 172.325274 (= 32√29) |
| Digit sum / digital root | 32 / 5 |
| Collatz steps to 1 | 28 |
| Scientific notation | 2.9696 × |
29696 in other forms
| Form | Value |
|---|---|
| In words | twenty-nine thousand six hundred and ninety-six |
| Binary (base 2) | 111010000000000 |
| Octal (base 8) | 72000 |
| Hexadecimal (base 16) | 7400 |
| Base 3 | 1111201212 |
| As time | 29696 seconds = 8 h 14 min 56 s |
Is 29696 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (29696 ÷ 2 = 14848) | 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 (29696 ÷ 4 = 7424) | 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 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 2) | 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 (29696 ÷ 8 = 3712) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 5) | 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 7) | 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 29696 a prime number?
No. 29696 = × 29, so it is divisible by 2.
What are the factors of 29696?
1, 2, 4, 8, 16, 29, 32, 58, 64, 116, 128, 232, 256, 464, 512, 928, 1024, 1856, 3712, 7424, 14848, 29696.
What is 29696 in binary?
111010000000000 (hexadecimal 7400, octal 72000).
What is the square root of 29696?
About 172.3253, exactly 32√29.
Is 29696 divisible by 3?
No. Its digits add up to 32, which is not a multiple of 3.
What is special about the number 29696?
29696 is a Harshad number: divisible by its digit sum 32.