The number 51729
51729 is a composite number with 8 divisors. Its prime factorisation is 3 × 43 × 401. Divisors (8): 1, 3, 43, 129, 401, 1203, 17243, 51729.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
51729 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
51729 is composite. Its prime factorisation is
- 3
The divisors add up to 70752; without 51729 itself that is 19023, so 51729 is deficient (19023 is less than 51729). Euler's totient φ(51729) = 33600 numbers up to 51729 share no factor with it.
- 4
The digits of 51729 add up to 24, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 26 steps to reach 1.
LaTeX source of the formulas on this page
\[ 51729 = 3 \times 43 \times 401 \]
51729 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 70752 |
| Euler totient φ(n) | 33600 |
| Square | 2675889441 |
| Cube | 138421084893489 |
| Square root | 227.440102 |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 26 |
| Scientific notation | 5.1729 × |
51729 in other forms
| Form | Value |
|---|---|
| In words | fifty-one thousand seven hundred and twenty-nine |
| Binary (base 2) | 1100101000010001 |
| Octal (base 8) | 145021 |
| Hexadecimal (base 16) | CA11 |
| Base 3 | 2121221220 |
| As time | 51729 seconds = 14 h 22 min 9 s |
Is 51729 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 (51729 ÷ 3 = 17243) | 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 1) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 6) | 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 7) | 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 51729 a prime number?
No. 51729 = 3 × 43 × 401, so it is divisible by 3.
What are the factors of 51729?
1, 3, 43, 129, 401, 1203, 17243, 51729.
What is 51729 in binary?
1100101000010001 (hexadecimal CA11, octal 145021).
What is the square root of 51729?
About 227.4401.
Is 51729 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 51729?
It is a composite number with 8 divisors.