The number 66729
66729 is a composite number with 16 divisors. Its prime factorisation is 3 × 13 × 29 × 59. Divisors (16): 1, 3, 13, 29, 39, 59, 87, 177, 377, 767, 1131, 1711, 2301, 5133, 22243, 66729.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
66729 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
66729 is composite. Its prime factorisation is
- 3
The divisors add up to 100800; without 66729 itself that is 34071, so 66729 is deficient (34071 is less than 66729). Euler's totient φ(66729) = 38976 numbers up to 66729 share no factor with it.
- 4
The digits of 66729 add up to 30, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 91 steps to reach 1.
LaTeX source of the formulas on this page
\[ 66729 = 3 \times 13 \times 29 \times 59 \]
66729 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 100800 |
| Euler totient φ(n) | 38976 |
| Square | 4452759441 |
| Cube | 297128184738489 |
| Square root | 258.319570 |
| Digit sum / digital root | 30 / 3 |
| Collatz steps to 1 | 91 |
| Scientific notation | 6.6729 × |
66729 in other forms
| Form | Value |
|---|---|
| In words | sixty-six thousand seven hundred and twenty-nine |
| Binary (base 2) | 10000010010101001 |
| Octal (base 8) | 202251 |
| Hexadecimal (base 16) | 104A9 |
| Base 3 | 10101112110 |
| As time | 66729 seconds = 18 h 32 min 9 s |
Is 66729 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 (66729 ÷ 3 = 22243) | 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 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 1) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 3) | 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 3) | 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 66729 a prime number?
No. 66729 = 3 × 13 × 29 × 59, so it is divisible by 3.
What are the factors of 66729?
1, 3, 13, 29, 39, 59, 87, 177, 377, 767, 1131, 1711, 2301, 5133, 22243, 66729.
What is 66729 in binary?
10000010010101001 (hexadecimal 104A9, octal 202251).
What is the square root of 66729?
About 258.3196.
Is 66729 divisible by 3?
Yes. Its digits add up to 30, a multiple of 3.
What is special about the number 66729?
It is a composite number with 16 divisors.