The number 55040
55040 is a composite number with 36 divisors. Its prime factorisation is × 5 × 43. Divisors (36): 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 43, 64, 80, 86, 128, 160 … 55040.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
55040 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
55040 is composite. Its prime factorisation is
- 3
The divisors add up to 134904; without 55040 itself that is 79864, so 55040 is abundant (79864 is more than 55040). Euler's totient φ(55040) = 21504 numbers up to 55040 share no factor with it.
- 4
The digits of 55040 add up to 14, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 109 steps to reach 1.
LaTeX source of the formulas on this page
\[ 55040 = 2^{8} \times 5 \times 43 \]55040 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 36 |
| Sum of divisors | 134904 |
| Euler totient φ(n) | 21504 |
| Square | 3029401600 |
| Cube | 166738264064000 |
| Square root | 234.606053 (= 16√215) |
| Digit sum / digital root | 14 / 5 |
| Collatz steps to 1 | 109 |
| Scientific notation | 5.504 × |
55040 in other forms
| Form | Value |
|---|---|
| In words | fifty-five thousand and forty |
| Binary (base 2) | 1101011100000000 |
| Octal (base 8) | 153400 |
| Hexadecimal (base 16) | D700 |
| Base 3 | 2210111112 |
| As time | 55040 seconds = 15 h 17 min 20 s |
Is 55040 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (55040 ÷ 2 = 27520) | 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 (55040 ÷ 4 = 13760) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (55040 ÷ 5 = 11008) | 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 | 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 (55040 ÷ 8 = 6880) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 5) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (55040 ÷ 10 = 5504) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 7) | 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 55040 a prime number?
No. 55040 = × 5 × 43, so it is divisible by 2.
What are the factors of 55040?
1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 43, 64, 80, 86, 128, 160, 172, 215, 256, 320, 344, 430, 640, 688, 860, 1280, 1376, 1720, 2752, 3440, 5504, 6880, 11008, 13760, 27520, 55040.
What is 55040 in binary?
1101011100000000 (hexadecimal D700, octal 153400).
What is the square root of 55040?
About 234.6061, exactly 16√215.
Is 55040 divisible by 3?
No. Its digits add up to 14, which is not a multiple of 3.
What is special about the number 55040?
It is a composite number with 36 divisors.