The number 29708
29708 is a composite number with 12 divisors. Its prime factorisation is × 7 × 1061. Divisors (12): 1, 2, 4, 7, 14, 28, 1061, 2122, 4244, 7427, 14854, 29708.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
29708 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
29708 is composite. Its prime factorisation is
- 3
The divisors add up to 59472; without 29708 itself that is 29764, so 29708 is abundant (29764 is more than 29708). Euler's totient φ(29708) = 12720 numbers up to 29708 share no factor with it.
- 4
The digits of 29708 add up to 26, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 72 steps to reach 1.
LaTeX source of the formulas on this page
\[ 29708 = 2^{2} \times 7 \times 1061 \]29708 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 59472 |
| Euler totient φ(n) | 12720 |
| Square | 882565264 |
| Cube | 26219248862912 |
| Square root | 172.360088 (= 2√7427) |
| Digit sum / digital root | 26 / 8 |
| Collatz steps to 1 | 72 |
| Scientific notation | 2.9708 × |
29708 in other forms
| Form | Value |
|---|---|
| In words | twenty-nine thousand seven hundred and eight |
| Binary (base 2) | 111010000001100 |
| Octal (base 8) | 72014 |
| Hexadecimal (base 16) | 740C |
| Base 3 | 1111202022 |
| As time | 29708 seconds = 8 h 15 min 8 s |
Is 29708 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (29708 ÷ 2 = 14854) | 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 (29708 ÷ 4 = 7427) | 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 | No (remainder 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (29708 ÷ 7 = 4244) | 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 8) | 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 8) | 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 29708 a prime number?
No. 29708 = × 7 × 1061, so it is divisible by 2.
What are the factors of 29708?
1, 2, 4, 7, 14, 28, 1061, 2122, 4244, 7427, 14854, 29708.
What is 29708 in binary?
111010000001100 (hexadecimal 740C, octal 72014).
What is the square root of 29708?
About 172.3601, exactly 2√7427.
Is 29708 divisible by 3?
No. Its digits add up to 26, which is not a multiple of 3.
What is special about the number 29708?
It is a composite number with 12 divisors.