The number 29688
29688 is a composite number with 16 divisors. Its prime factorisation is × 3 × 1237. Divisors (16): 1, 2, 3, 4, 6, 8, 12, 24, 1237, 2474, 3711, 4948, 7422, 9896, 14844, 29688.
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How to work it out
- 1
29688 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
29688 is composite. Its prime factorisation is
- 3
The divisors add up to 74280; without 29688 itself that is 44592, so 29688 is abundant (44592 is more than 29688). Euler's totient φ(29688) = 9888 numbers up to 29688 share no factor with it.
- 4
The digits of 29688 add up to 33, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 240 steps to reach 1.
LaTeX source of the formulas on this page
\[ 29688 = 2^{3} \times 3 \times 1237 \]29688 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 74280 |
| Euler totient φ(n) | 9888 |
| Square | 881377344 |
| Cube | 26166330588672 |
| Square root | 172.302060 (= 2√7422) |
| Digit sum / digital root | 33 / 6 |
| Collatz steps to 1 | 240 |
| Scientific notation | 2.9688 × |
29688 in other forms
| Form | Value |
|---|---|
| In words | twenty-nine thousand six hundred and eighty-eight |
| Binary (base 2) | 111001111111000 |
| Octal (base 8) | 71770 |
| Hexadecimal (base 16) | 73F8 |
| Base 3 | 1111201120 |
| As time | 29688 seconds = 8 h 14 min 48 s |
Is 29688 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (29688 ÷ 2 = 14844) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (29688 ÷ 3 = 9896) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (29688 ÷ 4 = 7422) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 3) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (29688 ÷ 6 = 4948) | 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 (29688 ÷ 8 = 3711) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 6) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 8) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 10) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (29688 ÷ 12 = 2474) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 29688 a prime number?
No. 29688 = × 3 × 1237, so it is divisible by 2.
What are the factors of 29688?
1, 2, 3, 4, 6, 8, 12, 24, 1237, 2474, 3711, 4948, 7422, 9896, 14844, 29688.
What is 29688 in binary?
111001111111000 (hexadecimal 73F8, octal 71770).
What is the square root of 29688?
About 172.3021, exactly 2√7422.
Is 29688 divisible by 3?
Yes. Its digits add up to 33, a multiple of 3.
What is special about the number 29688?
It is a composite number with 16 divisors.