The number 29964
29964 is a composite number with 24 divisors. Its prime factorisation is × 3 × 11 × 227. Divisors (24): 1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132, 227, 454, 681, 908 … 29964.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
29964 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
29964 is composite. Its prime factorisation is
- 3
The divisors add up to 76608; without 29964 itself that is 46644, so 29964 is abundant (46644 is more than 29964). Euler's totient φ(29964) = 9040 numbers up to 29964 share no factor with it.
- 4
The digits of 29964 add up to 30, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 165 steps to reach 1.
LaTeX source of the formulas on this page
\[ 29964 = 2^{2} \times 3 \times 11 \times 227 \]29964 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 76608 |
| Euler totient φ(n) | 9040 |
| Square | 897841296 |
| Cube | 26902916593344 |
| Square root | 173.101127 (= 2√7491) |
| Digit sum / digital root | 30 / 3 |
| Collatz steps to 1 | 165 |
| Scientific notation | 2.9964 × |
29964 in other forms
| Form | Value |
|---|---|
| In words | twenty-nine thousand nine hundred and sixty-four |
| Binary (base 2) | 111010100001100 |
| Octal (base 8) | 72414 |
| Hexadecimal (base 16) | 750C |
| Base 3 | 1112002210 |
| As time | 29964 seconds = 8 h 19 min 24 s |
Is 29964 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (29964 ÷ 2 = 14982) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (29964 ÷ 3 = 9988) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (29964 ÷ 4 = 7491) | 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 (29964 ÷ 6 = 4994) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 4) | 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 3) | 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 | Yes (29964 ÷ 11 = 2724) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (29964 ÷ 12 = 2497) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 29964 a prime number?
No. 29964 = × 3 × 11 × 227, so it is divisible by 2.
What are the factors of 29964?
1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132, 227, 454, 681, 908, 1362, 2497, 2724, 4994, 7491, 9988, 14982, 29964.
What is 29964 in binary?
111010100001100 (hexadecimal 750C, octal 72414).
What is the square root of 29964?
About 173.1011, exactly 2√7491.
Is 29964 divisible by 3?
Yes. Its digits add up to 30, a multiple of 3.
What is special about the number 29964?
It is a composite number with 24 divisors.