The number 29808
29808 is a composite number with 50 divisors. Its prime factorisation is × × 23. Divisors (50): 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 23, 24, 27, 36, 46, 48 … 29808.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 29808: a Harshad number: divisible by its digit sum 27.
- 2
29808 is composite. Its prime factorisation is
- 3
The divisors add up to 90024; without 29808 itself that is 60216, so 29808 is abundant (60216 is more than 29808). Euler's totient φ(29808) = 9504 numbers up to 29808 share no factor with it.
- 4
The digits of 29808 add up to 27, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 72 steps to reach 1.
LaTeX source of the formulas on this page
\[ 29808 = 2^{4} \times 3^{4} \times 23 \]29808 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 50 |
| Sum of divisors | 90024 |
| Euler totient φ(n) | 9504 |
| Square | 888516864 |
| Cube | 26484910682112 |
| Square root | 172.649935 (= 36√23) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 72 |
| Scientific notation | 2.9808 × |
29808 in other forms
| Form | Value |
|---|---|
| In words | twenty-nine thousand eight hundred and eight |
| Binary (base 2) | 111010001110000 |
| Octal (base 8) | 72160 |
| Hexadecimal (base 16) | 7470 |
| Base 3 | 1111220000 |
| As time | 29808 seconds = 8 h 16 min 48 s |
Is 29808 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (29808 ÷ 2 = 14904) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (29808 ÷ 3 = 9936) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (29808 ÷ 4 = 7452) | 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 (29808 ÷ 6 = 4968) | 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 (29808 ÷ 8 = 3726) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (29808 ÷ 9 = 3312) | 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 9) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (29808 ÷ 12 = 2484) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 29808 a prime number?
No. 29808 = × × 23, so it is divisible by 2.
What are the factors of 29808?
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 23, 24, 27, 36, 46, 48, 54, 69, 72, 81, 92, 108, 138, 144, 162, 184, 207, 216, 276, 324, 368, 414, 432, 552, 621, 648, 828, 1104, 1242, 1296, 1656, 1863, 2484, 3312, 3726, 4968, 7452, 9936, 14904, 29808.
What is 29808 in binary?
111010001110000 (hexadecimal 7470, octal 72160).
What is the square root of 29808?
About 172.6499, exactly 36√23.
Is 29808 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 29808?
29808 is a Harshad number: divisible by its digit sum 27.