The number 55116
55116 is a composite number with 18 divisors. Its prime factorisation is × × 1531. Divisors (18): 1, 2, 3, 4, 6, 9, 12, 18, 36, 1531, 3062, 4593, 6124, 9186, 13779, 18372 … 55116.
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How to work it out
- 1
What is special about 55116: a Harshad number: divisible by its digit sum 18.
- 2
55116 is composite. Its prime factorisation is
- 3
The divisors add up to 139412; without 55116 itself that is 84296, so 55116 is abundant (84296 is more than 55116). Euler's totient φ(55116) = 18360 numbers up to 55116 share no factor with it.
- 4
The digits of 55116 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 184 steps to reach 1.
LaTeX source of the formulas on this page
\[ 55116 = 2^{2} \times 3^{2} \times 1531 \]55116 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 18 |
| Sum of divisors | 139412 |
| Euler totient φ(n) | 18360 |
| Square | 3037773456 |
| Cube | 167429921800896 |
| Square root | 234.767971 (= 6√1531) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 184 |
| Scientific notation | 5.5116 × |
55116 in other forms
| Form | Value |
|---|---|
| In words | fifty-five thousand one hundred and sixteen |
| Binary (base 2) | 1101011101001100 |
| Octal (base 8) | 153514 |
| Hexadecimal (base 16) | D74C |
| Base 3 | 2210121100 |
| As time | 55116 seconds = 15 h 18 min 36 s |
Is 55116 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (55116 ÷ 2 = 27558) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (55116 ÷ 3 = 18372) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (55116 ÷ 4 = 13779) | 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 | Yes (55116 ÷ 6 = 9186) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 5) | 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 | Yes (55116 ÷ 9 = 6124) | 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 6) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (55116 ÷ 12 = 4593) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 55116 a prime number?
No. 55116 = × × 1531, so it is divisible by 2.
What are the factors of 55116?
1, 2, 3, 4, 6, 9, 12, 18, 36, 1531, 3062, 4593, 6124, 9186, 13779, 18372, 27558, 55116.
What is 55116 in binary?
1101011101001100 (hexadecimal D74C, octal 153514).
What is the square root of 55116?
About 234.7680, exactly 6√1531.
Is 55116 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 55116?
55116 is a Harshad number: divisible by its digit sum 18.