The number 29724
29724 is a composite number with 12 divisors. Its prime factorisation is × 3 × 2477. Divisors (12): 1, 2, 3, 4, 6, 12, 2477, 4954, 7431, 9908, 14862, 29724.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
29724 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
29724 is composite. Its prime factorisation is
- 3
The divisors add up to 69384; without 29724 itself that is 39660, so 29724 is abundant (39660 is more than 29724). Euler's totient φ(29724) = 9904 numbers up to 29724 share no factor with it.
- 4
The digits of 29724 add up to 24, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 72 steps to reach 1.
LaTeX source of the formulas on this page
\[ 29724 = 2^{2} \times 3 \times 2477 \]29724 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 69384 |
| Euler totient φ(n) | 9904 |
| Square | 883516176 |
| Cube | 26261634815424 |
| Square root | 172.406496 (= 2√7431) |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 72 |
| Scientific notation | 2.9724 × |
29724 in other forms
| Form | Value |
|---|---|
| In words | twenty-nine thousand seven hundred and twenty-four |
| Binary (base 2) | 111010000011100 |
| Octal (base 8) | 72034 |
| Hexadecimal (base 16) | 741C |
| Base 3 | 1111202220 |
| As time | 29724 seconds = 8 h 15 min 24 s |
Is 29724 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (29724 ÷ 2 = 14862) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (29724 ÷ 3 = 9908) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (29724 ÷ 4 = 7431) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 4) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (29724 ÷ 6 = 4954) | 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 | No (remainder 4) | 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 4) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 2) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (29724 ÷ 12 = 2477) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 29724 a prime number?
No. 29724 = × 3 × 2477, so it is divisible by 2.
What are the factors of 29724?
1, 2, 3, 4, 6, 12, 2477, 4954, 7431, 9908, 14862, 29724.
What is 29724 in binary?
111010000011100 (hexadecimal 741C, octal 72034).
What is the square root of 29724?
About 172.4065, exactly 2√7431.
Is 29724 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 29724?
It is a composite number with 12 divisors.