The number 29475
29475 is a composite number with 18 divisors. Its prime factorisation is × × 131. Divisors (18): 1, 3, 5, 9, 15, 25, 45, 75, 131, 225, 393, 655, 1179, 1965, 3275, 5895 … 29475.
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How to work it out
- 1
29475 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
29475 is composite. Its prime factorisation is
- 3
The divisors add up to 53196; without 29475 itself that is 23721, so 29475 is deficient (23721 is less than 29475). Euler's totient φ(29475) = 15600 numbers up to 29475 share no factor with it.
- 4
The digits of 29475 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
\[ 29475 = 3^{2} \times 5^{2} \times 131 \]29475 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 18 |
| Sum of divisors | 53196 |
| Euler totient φ(n) | 15600 |
| Square | 868775625 |
| Cube | 25607161546875 |
| Square root | 171.682847 (= 15√131) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 46 |
| Scientific notation | 2.9475 × |
29475 in other forms
| Form | Value |
|---|---|
| In words | twenty-nine thousand four hundred and seventy-five |
| Binary (base 2) | 111001100100011 |
| Octal (base 8) | 71443 |
| Hexadecimal (base 16) | 7323 |
| Base 3 | 1111102200 |
| As time | 29475 seconds = 8 h 11 min 15 s |
Is 29475 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 (29475 ÷ 3 = 9825) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 3) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (29475 ÷ 5 = 5895) | 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 5) | 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 3) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (29475 ÷ 9 = 3275) | 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 6) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 3) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 29475 a prime number?
No. 29475 = × × 131, so it is divisible by 3.
What are the factors of 29475?
1, 3, 5, 9, 15, 25, 45, 75, 131, 225, 393, 655, 1179, 1965, 3275, 5895, 9825, 29475.
What is 29475 in binary?
111001100100011 (hexadecimal 7323, octal 71443).
What is the square root of 29475?
About 171.6828, exactly 15√131.
Is 29475 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 29475?
It is a composite number with 18 divisors.