The number 51684
51684 is a composite number with 24 divisors. Its prime factorisation is × 3 × 59 × 73. Divisors (24): 1, 2, 3, 4, 6, 12, 59, 73, 118, 146, 177, 219, 236, 292, 354, 438 … 51684.
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How to work it out
- 1
51684 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
51684 is composite. Its prime factorisation is
- 3
The divisors add up to 124320; without 51684 itself that is 72636, so 51684 is abundant (72636 is more than 51684). Euler's totient φ(51684) = 16704 numbers up to 51684 share no factor with it.
- 4
The digits of 51684 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 65 steps to reach 1.
LaTeX source of the formulas on this page
\[ 51684 = 2^{2} \times 3 \times 59 \times 73 \]51684 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 124320 |
| Euler totient φ(n) | 16704 |
| Square | 2671235856 |
| Cube | 138060153981504 |
| Square root | 227.341153 (= 2√12921) |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 65 |
| Scientific notation | 5.1684 × |
51684 in other forms
| Form | Value |
|---|---|
| In words | fifty-one thousand six hundred and eighty-four |
| Binary (base 2) | 1100100111100100 |
| Octal (base 8) | 144744 |
| Hexadecimal (base 16) | C9E4 |
| Base 3 | 2121220020 |
| As time | 51684 seconds = 14 h 21 min 24 s |
Is 51684 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (51684 ÷ 2 = 25842) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (51684 ÷ 3 = 17228) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (51684 ÷ 4 = 12921) | 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 | Yes (51684 ÷ 6 = 8614) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 3) | 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 4) | 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 4) | 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 | Yes (51684 ÷ 12 = 4307) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 51684 a prime number?
No. 51684 = × 3 × 59 × 73, so it is divisible by 2.
What are the factors of 51684?
1, 2, 3, 4, 6, 12, 59, 73, 118, 146, 177, 219, 236, 292, 354, 438, 708, 876, 4307, 8614, 12921, 17228, 25842, 51684.
What is 51684 in binary?
1100100111100100 (hexadecimal C9E4, octal 144744).
What is the square root of 51684?
About 227.3412, exactly 2√12921.
Is 51684 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 51684?
It is a composite number with 24 divisors.