The number 55560
55560 is a composite number with 32 divisors. Its prime factorisation is × 3 × 5 × 463. Divisors (32): 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120 … 55560.
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How to work it out
- 1
55560 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
55560 is composite. Its prime factorisation is
- 3
The divisors add up to 167040; without 55560 itself that is 111480, so 55560 is abundant (111480 is more than 55560). Euler's totient φ(55560) = 14784 numbers up to 55560 share no factor with it.
- 4
The digits of 55560 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 47 steps to reach 1.
LaTeX source of the formulas on this page
\[ 55560 = 2^{3} \times 3 \times 5 \times 463 \]55560 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 167040 |
| Euler totient φ(n) | 14784 |
| Square | 3086913600 |
| Cube | 171508919616000 |
| Square root | 235.711688 (= 2√13890) |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 47 |
| Scientific notation | 5.556 × |
55560 in other forms
| Form | Value |
|---|---|
| In words | fifty-five thousand five hundred and sixty |
| Binary (base 2) | 1101100100001000 |
| Octal (base 8) | 154410 |
| Hexadecimal (base 16) | D908 |
| Base 3 | 2211012210 |
| As time | 55560 seconds = 15 h 26 min 0 s |
Is 55560 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (55560 ÷ 2 = 27780) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (55560 ÷ 3 = 18520) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (55560 ÷ 4 = 13890) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (55560 ÷ 5 = 11112) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (55560 ÷ 6 = 9260) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 1) | 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 (55560 ÷ 8 = 6945) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 3) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (55560 ÷ 10 = 5556) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 10) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (55560 ÷ 12 = 4630) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 55560 a prime number?
No. 55560 = × 3 × 5 × 463, so it is divisible by 2.
What are the factors of 55560?
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120, 463, 926, 1389, 1852, 2315, 2778, 3704, 4630, 5556, 6945, 9260, 11112, 13890, 18520, 27780, 55560.
What is 55560 in binary?
1101100100001000 (hexadecimal D908, octal 154410).
What is the square root of 55560?
About 235.7117, exactly 2√13890.
Is 55560 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 55560?
It is a composite number with 32 divisors.