The number 55096
55096 is a composite number with 16 divisors. Its prime factorisation is × 71 × 97. Divisors (16): 1, 2, 4, 8, 71, 97, 142, 194, 284, 388, 568, 776, 6887, 13774, 27548, 55096.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 55096: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
55096 is composite. Its prime factorisation is
- 3
The divisors add up to 105840; without 55096 itself that is 50744, so 55096 is deficient (50744 is less than 55096). Euler's totient φ(55096) = 26880 numbers up to 55096 share no factor with it.
- 4
The digits of 55096 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 171 steps to reach 1.
LaTeX source of the formulas on this page
\[ 55096 = 2^{3} \times 71 \times 97 \]55096 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 105840 |
| Euler totient φ(n) | 26880 |
| Square | 3035569216 |
| Cube | 167247721524736 |
| Square root | 234.725371 (= 2√13774) |
| Digit sum / digital root | 25 / 7 |
| Collatz steps to 1 | 171 |
| Scientific notation | 5.5096 × |
55096 in other forms
| Form | Value |
|---|---|
| In words | fifty-five thousand and ninety-six |
| Binary (base 2) | 1101011100111000 |
| Octal (base 8) | 153470 |
| Hexadecimal (base 16) | D738 |
| Base 3 | 2210120121 |
| As time | 55096 seconds = 15 h 18 min 16 s |
Is 55096 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (55096 ÷ 2 = 27548) | 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 (55096 ÷ 4 = 13774) | 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 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 6) | 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 (55096 ÷ 8 = 6887) | 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 6) | 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 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 55096 a prime number?
No. 55096 = × 71 × 97, so it is divisible by 2.
What are the factors of 55096?
1, 2, 4, 8, 71, 97, 142, 194, 284, 388, 568, 776, 6887, 13774, 27548, 55096.
What is 55096 in binary?
1101011100111000 (hexadecimal D738, octal 153470).
What is the square root of 55096?
About 234.7254, exactly 2√13774.
Is 55096 divisible by 3?
No. Its digits add up to 25, which is not a multiple of 3.
What is special about the number 55096?
55096 is a happy number: repeatedly adding the squares of its digits reaches 1.