The number 29025
29025 is a composite number with 24 divisors. Its prime factorisation is × × 43. Divisors (24): 1, 3, 5, 9, 15, 25, 27, 43, 45, 75, 129, 135, 215, 225, 387, 645 … 29025.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
29025 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
29025 is composite. Its prime factorisation is
- 3
The divisors add up to 54560; without 29025 itself that is 25535, so 29025 is deficient (25535 is less than 29025). Euler's totient φ(29025) = 15120 numbers up to 29025 share no factor with it.
- 4
The digits of 29025 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 196 steps to reach 1.
LaTeX source of the formulas on this page
\[ 29025 = 3^{3} \times 5^{2} \times 43 \]29025 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 54560 |
| Euler totient φ(n) | 15120 |
| Square | 842450625 |
| Cube | 24452129390625 |
| Square root | 170.367250 (= 15√129) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 196 |
| Scientific notation | 2.9025 × |
29025 in other forms
| Form | Value |
|---|---|
| In words | twenty-nine thousand and twenty-five |
| Binary (base 2) | 111000101100001 |
| Octal (base 8) | 70541 |
| Hexadecimal (base 16) | 7161 |
| Base 3 | 1110211000 |
| As time | 29025 seconds = 8 h 3 min 45 s |
Is 29025 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 (29025 ÷ 3 = 9675) | 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 (29025 ÷ 5 = 5805) | 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 | No (remainder 3) | 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 1) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (29025 ÷ 9 = 3225) | 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 7) | 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 29025 a prime number?
No. 29025 = × × 43, so it is divisible by 3.
What are the factors of 29025?
1, 3, 5, 9, 15, 25, 27, 43, 45, 75, 129, 135, 215, 225, 387, 645, 675, 1075, 1161, 1935, 3225, 5805, 9675, 29025.
What is 29025 in binary?
111000101100001 (hexadecimal 7161, octal 70541).
What is the square root of 29025?
About 170.3673, exactly 15√129.
Is 29025 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 29025?
It is a composite number with 24 divisors.