The number 66429
66429 is a composite number with 18 divisors. Its prime factorisation is × × 61. Divisors (18): 1, 3, 9, 11, 33, 61, 99, 121, 183, 363, 549, 671, 1089, 2013, 6039, 7381 … 66429.
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How to work it out
- 1
66429 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
66429 is composite. Its prime factorisation is
- 3
The divisors add up to 107198; without 66429 itself that is 40769, so 66429 is deficient (40769 is less than 66429). Euler's totient φ(66429) = 39600 numbers up to 66429 share no factor with it.
- 4
The digits of 66429 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 130 steps to reach 1.
LaTeX source of the formulas on this page
\[ 66429 = 3^{2} \times 11^{2} \times 61 \]66429 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 18 |
| Sum of divisors | 107198 |
| Euler totient φ(n) | 39600 |
| Square | 4412812041 |
| Cube | 293138691071589 |
| Square root | 257.738239 (= 33√61) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 130 |
| Scientific notation | 6.6429 × |
66429 in other forms
| Form | Value |
|---|---|
| In words | sixty-six thousand four hundred and twenty-nine |
| Binary (base 2) | 10000001101111101 |
| Octal (base 8) | 201575 |
| Hexadecimal (base 16) | 1037D |
| Base 3 | 10101010100 |
| As time | 66429 seconds = 18 h 27 min 9 s |
Is 66429 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 (66429 ÷ 3 = 22143) | 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 6) | 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 (66429 ÷ 9 = 7381) | 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 | Yes (66429 ÷ 11 = 6039) | 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 66429 a prime number?
No. 66429 = × × 61, so it is divisible by 3.
What are the factors of 66429?
1, 3, 9, 11, 33, 61, 99, 121, 183, 363, 549, 671, 1089, 2013, 6039, 7381, 22143, 66429.
What is 66429 in binary?
10000001101111101 (hexadecimal 1037D, octal 201575).
What is the square root of 66429?
About 257.7382, exactly 33√61.
Is 66429 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 66429?
It is a composite number with 18 divisors.