The number 60684
60684 is a composite number with 24 divisors. Its prime factorisation is × 3 × 13 × 389. Divisors (24): 1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156, 389, 778, 1167, 1556 … 60684.
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How to work it out
- 1
60684 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
60684 is composite. Its prime factorisation is
- 3
The divisors add up to 152880; without 60684 itself that is 92196, so 60684 is abundant (92196 is more than 60684). Euler's totient φ(60684) = 18624 numbers up to 60684 share no factor with it.
- 4
The digits of 60684 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 135 steps to reach 1.
LaTeX source of the formulas on this page
\[ 60684 = 2^{2} \times 3 \times 13 \times 389 \]60684 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 152880 |
| Euler totient φ(n) | 18624 |
| Square | 3682547856 |
| Cube | 223471734093504 |
| Square root | 246.341227 (= 2√15171) |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 135 |
| Scientific notation | 6.0684 × |
60684 in other forms
| Form | Value |
|---|---|
| In words | sixty thousand six hundred and eighty-four |
| Binary (base 2) | 1110110100001100 |
| Octal (base 8) | 166414 |
| Hexadecimal (base 16) | ED0C |
| Base 3 | 10002020120 |
| As time | 60684 seconds = 16 h 51 min 24 s |
Is 60684 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (60684 ÷ 2 = 30342) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (60684 ÷ 3 = 20228) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (60684 ÷ 4 = 15171) | 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 (60684 ÷ 6 = 10114) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 1) | 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 8) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (60684 ÷ 12 = 5057) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 60684 a prime number?
No. 60684 = × 3 × 13 × 389, so it is divisible by 2.
What are the factors of 60684?
1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156, 389, 778, 1167, 1556, 2334, 4668, 5057, 10114, 15171, 20228, 30342, 60684.
What is 60684 in binary?
1110110100001100 (hexadecimal ED0C, octal 166414).
What is the square root of 60684?
About 246.3412, exactly 2√15171.
Is 60684 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 60684?
It is a composite number with 24 divisors.