The number 55104
55104 is a composite number with 56 divisors. Its prime factorisation is × 3 × 7 × 41. Divisors (56): 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 41, 42 … 55104.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
55104 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
55104 is composite. Its prime factorisation is
- 3
The divisors add up to 170688; without 55104 itself that is 115584, so 55104 is abundant (115584 is more than 55104). Euler's totient φ(55104) = 15360 numbers up to 55104 share no factor with it.
- 4
The digits of 55104 add up to 15, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 109 steps to reach 1.
LaTeX source of the formulas on this page
\[ 55104 = 2^{6} \times 3 \times 7 \times 41 \]55104 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 56 |
| Sum of divisors | 170688 |
| Euler totient φ(n) | 15360 |
| Square | 3036450816 |
| Cube | 167320585764864 |
| Square root | 234.742412 (= 8√861) |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 109 |
| Scientific notation | 5.5104 × |
55104 in other forms
| Form | Value |
|---|---|
| In words | fifty-five thousand one hundred and four |
| Binary (base 2) | 1101011101000000 |
| Octal (base 8) | 153500 |
| Hexadecimal (base 16) | D740 |
| Base 3 | 2210120220 |
| As time | 55104 seconds = 15 h 18 min 24 s |
Is 55104 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (55104 ÷ 2 = 27552) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (55104 ÷ 3 = 18368) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (55104 ÷ 4 = 13776) | 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 | Yes (55104 ÷ 6 = 9184) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (55104 ÷ 7 = 7872) | 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 (55104 ÷ 8 = 6888) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 6) | 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 5) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (55104 ÷ 12 = 4592) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 55104 a prime number?
No. 55104 = × 3 × 7 × 41, so it is divisible by 2.
What are the factors of 55104?
1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 41, 42, 48, 56, 64, 82, 84, 96, 112, 123, 164, 168, 192, 224, 246, 287, 328, 336, 448, 492, 574, 656, 672, 861, 984, 1148, 1312, 1344, 1722, 1968, 2296, 2624, 3444, 3936, 4592, 6888, 7872, 9184, 13776, 18368, 27552, 55104.
What is 55104 in binary?
1101011101000000 (hexadecimal D740, octal 153500).
What is the square root of 55104?
About 234.7424, exactly 8√861.
Is 55104 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 55104?
It is a composite number with 56 divisors.