The number 61184
61184 is a composite number with 18 divisors. Its prime factorisation is × 239. Divisors (18): 1, 2, 4, 8, 16, 32, 64, 128, 239, 256, 478, 956, 1912, 3824, 7648, 15296 … 61184.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
61184 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
61184 is composite. Its prime factorisation is
- 3
The divisors add up to 122640; without 61184 itself that is 61456, so 61184 is abundant (61456 is more than 61184). Euler's totient φ(61184) = 30464 numbers up to 61184 share no factor with it.
- 4
The digits of 61184 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 60 steps to reach 1.
LaTeX source of the formulas on this page
\[ 61184 = 2^{8} \times 239 \]61184 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 18 |
| Sum of divisors | 122640 |
| Euler totient φ(n) | 30464 |
| Square | 3743481856 |
| Cube | 229041193877504 |
| Square root | 247.353997 (= 16√239) |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 60 |
| Scientific notation | 6.1184 × |
61184 in other forms
| Form | Value |
|---|---|
| In words | sixty-one thousand one hundred and eighty-four |
| Binary (base 2) | 1110111100000000 |
| Octal (base 8) | 167400 |
| Hexadecimal (base 16) | EF00 |
| Base 3 | 10002221002 |
| As time | 61184 seconds = 16 h 59 min 44 s |
Is 61184 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (61184 ÷ 2 = 30592) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 2) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (61184 ÷ 4 = 15296) | 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 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 4) | 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 | Yes (61184 ÷ 8 = 7648) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 2) | 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 2) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 61184 a prime number?
No. 61184 = × 239, so it is divisible by 2.
What are the factors of 61184?
1, 2, 4, 8, 16, 32, 64, 128, 239, 256, 478, 956, 1912, 3824, 7648, 15296, 30592, 61184.
What is 61184 in binary?
1110111100000000 (hexadecimal EF00, octal 167400).
What is the square root of 61184?
About 247.3540, exactly 16√239.
Is 61184 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 61184?
It is a composite number with 18 divisors.