The number 55916
55916 is a composite number with 12 divisors. Its prime factorisation is × 7 × 1997. Divisors (12): 1, 2, 4, 7, 14, 28, 1997, 3994, 7988, 13979, 27958, 55916.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
55916 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
55916 is composite. Its prime factorisation is
- 3
The divisors add up to 111888; without 55916 itself that is 55972, so 55916 is abundant (55972 is more than 55916). Euler's totient φ(55916) = 23952 numbers up to 55916 share no factor with it.
- 4
The digits of 55916 add up to 26, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 91 steps to reach 1.
LaTeX source of the formulas on this page
\[ 55916 = 2^{2} \times 7 \times 1997 \]55916 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 111888 |
| Euler totient φ(n) | 23952 |
| Square | 3126599056 |
| Cube | 174826912815296 |
| Square root | 236.465642 (= 2√13979) |
| Digit sum / digital root | 26 / 8 |
| Collatz steps to 1 | 91 |
| Scientific notation | 5.5916 × |
55916 in other forms
| Form | Value |
|---|---|
| In words | fifty-five thousand nine hundred and sixteen |
| Binary (base 2) | 1101101001101100 |
| Octal (base 8) | 155154 |
| Hexadecimal (base 16) | DA6C |
| Base 3 | 2211200222 |
| As time | 55916 seconds = 15 h 31 min 56 s |
Is 55916 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (55916 ÷ 2 = 27958) | 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 (55916 ÷ 4 = 13979) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 1) | 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 | Yes (55916 ÷ 7 = 7988) | 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 8) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 6) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 3) | 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 55916 a prime number?
No. 55916 = × 7 × 1997, so it is divisible by 2.
What are the factors of 55916?
1, 2, 4, 7, 14, 28, 1997, 3994, 7988, 13979, 27958, 55916.
What is 55916 in binary?
1101101001101100 (hexadecimal DA6C, octal 155154).
What is the square root of 55916?
About 236.4656, exactly 2√13979.
Is 55916 divisible by 3?
No. Its digits add up to 26, which is not a multiple of 3.
What is special about the number 55916?
It is a composite number with 12 divisors.