The number 55880
55880 is a composite number with 32 divisors. Its prime factorisation is × 5 × 11 × 127. Divisors (32): 1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 127, 220 … 55880.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
55880 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
55880 is composite. Its prime factorisation is
- 3
The divisors add up to 138240; without 55880 itself that is 82360, so 55880 is abundant (82360 is more than 55880). Euler's totient φ(55880) = 20160 numbers up to 55880 share no factor with it.
- 4
The digits of 55880 add up to 26, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 109 steps to reach 1.
LaTeX source of the formulas on this page
\[ 55880 = 2^{3} \times 5 \times 11 \times 127 \]55880 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 138240 |
| Euler totient φ(n) | 20160 |
| Square | 3122574400 |
| Cube | 174489457472000 |
| Square root | 236.389509 (= 2√13970) |
| Digit sum / digital root | 26 / 8 |
| Collatz steps to 1 | 109 |
| Scientific notation | 5.588 × |
55880 in other forms
| Form | Value |
|---|---|
| In words | fifty-five thousand eight hundred and eighty |
| Binary (base 2) | 1101101001001000 |
| Octal (base 8) | 155110 |
| Hexadecimal (base 16) | DA48 |
| Base 3 | 2211122122 |
| As time | 55880 seconds = 15 h 31 min 20 s |
Is 55880 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (55880 ÷ 2 = 27940) | 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 (55880 ÷ 4 = 13970) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (55880 ÷ 5 = 11176) | 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 (55880 ÷ 8 = 6985) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 8) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (55880 ÷ 10 = 5588) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (55880 ÷ 11 = 5080) | 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 55880 a prime number?
No. 55880 = × 5 × 11 × 127, so it is divisible by 2.
What are the factors of 55880?
1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 127, 220, 254, 440, 508, 635, 1016, 1270, 1397, 2540, 2794, 5080, 5588, 6985, 11176, 13970, 27940, 55880.
What is 55880 in binary?
1101101001001000 (hexadecimal DA48, octal 155110).
What is the square root of 55880?
About 236.3895, exactly 2√13970.
Is 55880 divisible by 3?
No. Its digits add up to 26, which is not a multiple of 3.
What is special about the number 55880?
It is a composite number with 32 divisors.