The number 29604
29604 is a composite number with 12 divisors. Its prime factorisation is × 3 × 2467. Divisors (12): 1, 2, 3, 4, 6, 12, 2467, 4934, 7401, 9868, 14802, 29604.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
29604 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
29604 is composite. Its prime factorisation is
- 3
The divisors add up to 69104; without 29604 itself that is 39500, so 29604 is abundant (39500 is more than 29604). Euler's totient φ(29604) = 9864 numbers up to 29604 share no factor with it.
- 4
The digits of 29604 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 72 steps to reach 1.
LaTeX source of the formulas on this page
\[ 29604 = 2^{2} \times 3 \times 2467 \]29604 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 69104 |
| Euler totient φ(n) | 9864 |
| Square | 876396816 |
| Cube | 25944851340864 |
| Square root | 172.058130 (= 2√7401) |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 72 |
| Scientific notation | 2.9604 × |
29604 in other forms
| Form | Value |
|---|---|
| In words | twenty-nine thousand six hundred and four |
| Binary (base 2) | 111001110100100 |
| Octal (base 8) | 71644 |
| Hexadecimal (base 16) | 73A4 |
| Base 3 | 1111121110 |
| As time | 29604 seconds = 8 h 13 min 24 s |
Is 29604 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (29604 ÷ 2 = 14802) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (29604 ÷ 3 = 9868) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (29604 ÷ 4 = 7401) | 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 (29604 ÷ 6 = 4934) | 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 | 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 | No (remainder 3) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (29604 ÷ 12 = 2467) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 29604 a prime number?
No. 29604 = × 3 × 2467, so it is divisible by 2.
What are the factors of 29604?
1, 2, 3, 4, 6, 12, 2467, 4934, 7401, 9868, 14802, 29604.
What is 29604 in binary?
111001110100100 (hexadecimal 73A4, octal 71644).
What is the square root of 29604?
About 172.0581, exactly 2√7401.
Is 29604 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 29604?
It is a composite number with 12 divisors.