The number 75429
75429 is a composite number with 18 divisors. Its prime factorisation is × × 29. Divisors (18): 1, 3, 9, 17, 29, 51, 87, 153, 261, 289, 493, 867, 1479, 2601, 4437, 8381 … 75429.
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How to work it out
- 1
75429 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
75429 is composite. Its prime factorisation is
- 3
The divisors add up to 119730; without 75429 itself that is 44301, so 75429 is deficient (44301 is less than 75429). Euler's totient φ(75429) = 45696 numbers up to 75429 share no factor with it.
- 4
The digits of 75429 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 63 steps to reach 1.
LaTeX source of the formulas on this page
\[ 75429 = 3^{2} \times 17^{2} \times 29 \]75429 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 18 |
| Sum of divisors | 119730 |
| Euler totient φ(n) | 45696 |
| Square | 5689534041 |
| Cube | 429155863178589 |
| Square root | 274.643405 (= 51√29) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 63 |
| Scientific notation | 7.5429 × |
75429 in other forms
| Form | Value |
|---|---|
| In words | seventy-five thousand four hundred and twenty-nine |
| Binary (base 2) | 10010011010100101 |
| Octal (base 8) | 223245 |
| Hexadecimal (base 16) | 126A5 |
| Base 3 | 10211110200 |
| As time | 75429 seconds = 20 h 57 min 9 s |
Is 75429 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 (75429 ÷ 3 = 25143) | 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 | No (remainder 4) | 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 4) | 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 (75429 ÷ 9 = 8381) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 9) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 2) | 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 75429 a prime number?
No. 75429 = × × 29, so it is divisible by 3.
What are the factors of 75429?
1, 3, 9, 17, 29, 51, 87, 153, 261, 289, 493, 867, 1479, 2601, 4437, 8381, 25143, 75429.
What is 75429 in binary?
10010011010100101 (hexadecimal 126A5, octal 223245).
What is the square root of 75429?
About 274.6434, exactly 51√29.
Is 75429 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 75429?
It is a composite number with 18 divisors.