The number 29925
29925 is a composite number with 36 divisors. Its prime factorisation is × × 7 × 19. Divisors (36): 1, 3, 5, 7, 9, 15, 19, 21, 25, 35, 45, 57, 63, 75, 95, 105 … 29925.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
29925 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
29925 is composite. Its prime factorisation is
- 3
The divisors add up to 64480; without 29925 itself that is 34555, so 29925 is abundant (34555 is more than 29925). Euler's totient φ(29925) = 12960 numbers up to 29925 share no factor with it.
- 4
The digits of 29925 add up to 27, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 165 steps to reach 1.
LaTeX source of the formulas on this page
\[ 29925 = 3^{2} \times 5^{2} \times 7 \times 19 \]29925 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 36 |
| Sum of divisors | 64480 |
| Euler totient φ(n) | 12960 |
| Square | 895505625 |
| Cube | 26798005828125 |
| Square root | 172.988439 (= 15√133) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 165 |
| Scientific notation | 2.9925 × |
29925 in other forms
| Form | Value |
|---|---|
| In words | twenty-nine thousand nine hundred and twenty-five |
| Binary (base 2) | 111010011100101 |
| Octal (base 8) | 72345 |
| Hexadecimal (base 16) | 74E5 |
| Base 3 | 1112001100 |
| As time | 29925 seconds = 8 h 18 min 45 s |
Is 29925 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (29925 ÷ 3 = 9975) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 1) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (29925 ÷ 5 = 5985) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 3) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (29925 ÷ 7 = 4275) | 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 5) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (29925 ÷ 9 = 3325) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 5) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 5) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 29925 a prime number?
No. 29925 = × × 7 × 19, so it is divisible by 3.
What are the factors of 29925?
1, 3, 5, 7, 9, 15, 19, 21, 25, 35, 45, 57, 63, 75, 95, 105, 133, 171, 175, 225, 285, 315, 399, 475, 525, 665, 855, 1197, 1425, 1575, 1995, 3325, 4275, 5985, 9975, 29925.
What is 29925 in binary?
111010011100101 (hexadecimal 74E5, octal 72345).
What is the square root of 29925?
About 172.9884, exactly 15√133.
Is 29925 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 29925?
It is a composite number with 36 divisors.