The number 29725
29725 is a composite number with 12 divisors. Its prime factorisation is × 29 × 41. Divisors (12): 1, 5, 25, 29, 41, 145, 205, 725, 1025, 1189, 5945, 29725.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 29725: a Harshad number: divisible by its digit sum 25.
- 2
29725 is composite. Its prime factorisation is
- 3
The divisors add up to 39060; without 29725 itself that is 9335, so 29725 is deficient (9335 is less than 29725). Euler's totient φ(29725) = 22400 numbers up to 29725 share no factor with it.
- 4
The digits of 29725 add up to 25, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 72 steps to reach 1.
LaTeX source of the formulas on this page
\[ 29725 = 5^{2} \times 29 \times 41 \]29725 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 39060 |
| Euler totient φ(n) | 22400 |
| Square | 883575625 |
| Cube | 26264285453125 |
| Square root | 172.409396 (= 5√1189) |
| Digit sum / digital root | 25 / 7 |
| Collatz steps to 1 | 72 |
| Scientific notation | 2.9725 × |
29725 in other forms
| Form | Value |
|---|---|
| In words | twenty-nine thousand seven hundred and twenty-five |
| Binary (base 2) | 111010000011101 |
| Octal (base 8) | 72035 |
| Hexadecimal (base 16) | 741D |
| Base 3 | 1111202221 |
| As time | 29725 seconds = 8 h 15 min 25 s |
Is 29725 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 | No (remainder 1) | 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 (29725 ÷ 5 = 5945) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 1) | 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 5) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 7) | 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 3) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 1) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 29725 a prime number?
No. 29725 = × 29 × 41, so it is divisible by 5.
What are the factors of 29725?
1, 5, 25, 29, 41, 145, 205, 725, 1025, 1189, 5945, 29725.
What is 29725 in binary?
111010000011101 (hexadecimal 741D, octal 72035).
What is the square root of 29725?
About 172.4094, exactly 5√1189.
Is 29725 divisible by 3?
No. Its digits add up to 25, which is not a multiple of 3.
What is special about the number 29725?
29725 is a Harshad number: divisible by its digit sum 25.