The number 29745
29745 is a composite number with 12 divisors. Its prime factorisation is × 5 × 661. Divisors (12): 1, 3, 5, 9, 15, 45, 661, 1983, 3305, 5949, 9915, 29745.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
29745 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
29745 is composite. Its prime factorisation is
- 3
The divisors add up to 51636; without 29745 itself that is 21891, so 29745 is deficient (21891 is less than 29745). Euler's totient φ(29745) = 15840 numbers up to 29745 share no factor with it.
- 4
The digits of 29745 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 46 steps to reach 1.
LaTeX source of the formulas on this page
\[ 29745 = 3^{2} \times 5 \times 661 \]29745 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 51636 |
| Euler totient φ(n) | 15840 |
| Square | 884765025 |
| Cube | 26317335668625 |
| Square root | 172.467388 (= 3√3305) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 46 |
| Scientific notation | 2.9745 × |
29745 in other forms
| Form | Value |
|---|---|
| In words | twenty-nine thousand seven hundred and forty-five |
| Binary (base 2) | 111010000110001 |
| Octal (base 8) | 72061 |
| Hexadecimal (base 16) | 7431 |
| Base 3 | 1111210200 |
| As time | 29745 seconds = 8 h 15 min 45 s |
Is 29745 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 (29745 ÷ 3 = 9915) | 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 (29745 ÷ 5 = 5949) | 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 2) | 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 (29745 ÷ 9 = 3305) | 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 1) | 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 29745 a prime number?
No. 29745 = × 5 × 661, so it is divisible by 3.
What are the factors of 29745?
1, 3, 5, 9, 15, 45, 661, 1983, 3305, 5949, 9915, 29745.
What is 29745 in binary?
111010000110001 (hexadecimal 7431, octal 72061).
What is the square root of 29745?
About 172.4674, exactly 3√3305.
Is 29745 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 29745?
It is a composite number with 12 divisors.