The number 61684
61684 is a composite number with 12 divisors. Its prime factorisation is × 7 × 2203. Divisors (12): 1, 2, 4, 7, 14, 28, 2203, 4406, 8812, 15421, 30842, 61684.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
61684 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
61684 is composite. Its prime factorisation is
- 3
The divisors add up to 123424; without 61684 itself that is 61740, so 61684 is abundant (61740 is more than 61684). Euler's totient φ(61684) = 26424 numbers up to 61684 share no factor with it.
- 4
The digits of 61684 add up to 25, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 55 steps to reach 1.
LaTeX source of the formulas on this page
\[ 61684 = 2^{2} \times 7 \times 2203 \]61684 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 123424 |
| Euler totient φ(n) | 26424 |
| Square | 3804915856 |
| Cube | 234702429661504 |
| Square root | 248.362638 (= 2√15421) |
| Digit sum / digital root | 25 / 7 |
| Collatz steps to 1 | 55 |
| Scientific notation | 6.1684 × |
61684 in other forms
| Form | Value |
|---|---|
| In words | sixty-one thousand six hundred and eighty-four |
| Binary (base 2) | 1111000011110100 |
| Octal (base 8) | 170364 |
| Hexadecimal (base 16) | F0F4 |
| Base 3 | 10010121121 |
| As time | 61684 seconds = 17 h 8 min 4 s |
Is 61684 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (61684 ÷ 2 = 30842) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 1) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (61684 ÷ 4 = 15421) | 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 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (61684 ÷ 7 = 8812) | 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 7) | 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 7) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 61684 a prime number?
No. 61684 = × 7 × 2203, so it is divisible by 2.
What are the factors of 61684?
1, 2, 4, 7, 14, 28, 2203, 4406, 8812, 15421, 30842, 61684.
What is 61684 in binary?
1111000011110100 (hexadecimal F0F4, octal 170364).
What is the square root of 61684?
About 248.3626, exactly 2√15421.
Is 61684 divisible by 3?
No. Its digits add up to 25, which is not a multiple of 3.
What is special about the number 61684?
It is a composite number with 12 divisors.