The number 55107
55107 is a composite number with 16 divisors. Its prime factorisation is × 13 × 157. Divisors (16): 1, 3, 9, 13, 27, 39, 117, 157, 351, 471, 1413, 2041, 4239, 6123, 18369, 55107.
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How to work it out
- 1
What is special about 55107: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
55107 is composite. Its prime factorisation is
- 3
The divisors add up to 88480; without 55107 itself that is 33373, so 55107 is deficient (33373 is less than 55107). Euler's totient φ(55107) = 33696 numbers up to 55107 share no factor with it.
- 4
The digits of 55107 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
\[ 55107 = 3^{3} \times 13 \times 157 \]55107 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 88480 |
| Euler totient φ(n) | 33696 |
| Square | 3036781449 |
| Cube | 167347915310043 |
| Square root | 234.748802 (= 3√6123) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 184 |
| Scientific notation | 5.5107 × |
55107 in other forms
| Form | Value |
|---|---|
| In words | fifty-five thousand one hundred and seven |
| Binary (base 2) | 1101011101000011 |
| Octal (base 8) | 153503 |
| Hexadecimal (base 16) | D743 |
| Base 3 | 2210121000 |
| As time | 55107 seconds = 15 h 18 min 27 s |
Is 55107 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (55107 ÷ 3 = 18369) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 3) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 2) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 3) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 3) | 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 3) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (55107 ÷ 9 = 6123) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 7) | 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 | No (remainder 3) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 55107 a prime number?
No. 55107 = × 13 × 157, so it is divisible by 3.
What are the factors of 55107?
1, 3, 9, 13, 27, 39, 117, 157, 351, 471, 1413, 2041, 4239, 6123, 18369, 55107.
What is 55107 in binary?
1101011101000011 (hexadecimal D743, octal 153503).
What is the square root of 55107?
About 234.7488, exactly 3√6123.
Is 55107 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 55107?
55107 is a happy number: repeatedly adding the squares of its digits reaches 1.