The number 29504
29504 is a composite number with 14 divisors. Its prime factorisation is × 461. Divisors (14): 1, 2, 4, 8, 16, 32, 64, 461, 922, 1844, 3688, 7376, 14752, 29504.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
29504 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
29504 is composite. Its prime factorisation is
- 3
The divisors add up to 58674; without 29504 itself that is 29170, so 29504 is deficient (29170 is less than 29504). Euler's totient φ(29504) = 14720 numbers up to 29504 share no factor with it.
- 4
The digits of 29504 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 41 steps to reach 1.
LaTeX source of the formulas on this page
\[ 29504 = 2^{6} \times 461 \]29504 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 14 |
| Sum of divisors | 58674 |
| Euler totient φ(n) | 14720 |
| Square | 870486016 |
| Cube | 25682819416064 |
| Square root | 171.767284 (= 8√461) |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 41 |
| Scientific notation | 2.9504 × |
29504 in other forms
| Form | Value |
|---|---|
| In words | twenty-nine thousand five hundred and four |
| Binary (base 2) | 111001101000000 |
| Octal (base 8) | 71500 |
| Hexadecimal (base 16) | 7340 |
| Base 3 | 1111110202 |
| As time | 29504 seconds = 8 h 11 min 44 s |
Is 29504 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (29504 ÷ 2 = 14752) | 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 (29504 ÷ 4 = 7376) | 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 | No (remainder 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 6) | 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 (29504 ÷ 8 = 3688) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 2) | 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 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 29504 a prime number?
No. 29504 = × 461, so it is divisible by 2.
What are the factors of 29504?
1, 2, 4, 8, 16, 32, 64, 461, 922, 1844, 3688, 7376, 14752, 29504.
What is 29504 in binary?
111001101000000 (hexadecimal 7340, octal 71500).
What is the square root of 29504?
About 171.7673, exactly 8√461.
Is 29504 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 29504?
It is a composite number with 14 divisors.