The number 5560
5560 is a composite number with 16 divisors. Its prime factorisation is × 5 × 139. Divisors (16): 1, 2, 4, 5, 8, 10, 20, 40, 139, 278, 556, 695, 1112, 1390, 2780, 5560.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 5560: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
5560 is composite. Its prime factorisation is
- 3
The divisors add up to 12600; without 5560 itself that is 7040, so 5560 is abundant (7040 is more than 5560). Euler's totient φ(5560) = 2208 numbers up to 5560 share no factor with it.
- 4
The digits of 5560 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 129 steps to reach 1.
LaTeX source of the formulas on this page
\[ 5560 = 2^{3} \times 5 \times 139 \]5560 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 12600 |
| Euler totient φ(n) | 2208 |
| Square | 30913600 |
| Cube | 171879616000 |
| Square root | 74.565408 (= 2√1390) |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 129 |
| Scientific notation | 5.56 × |
5560 in other forms
| Form | Value |
|---|---|
| In words | five thousand five hundred and sixty |
| Binary (base 2) | 1010110111000 |
| Octal (base 8) | 12670 |
| Hexadecimal (base 16) | 15B8 |
| Base 3 | 21121221 |
| As time | 5560 seconds = 1 h 32 min 40 s |
Is 5560 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (5560 ÷ 2 = 2780) | 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 (5560 ÷ 4 = 1390) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (5560 ÷ 5 = 1112) | 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 2) | 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 (5560 ÷ 8 = 695) | 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 | Yes (5560 ÷ 10 = 556) | 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 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 5560 a prime number?
No. 5560 = × 5 × 139, so it is divisible by 2.
What are the factors of 5560?
1, 2, 4, 5, 8, 10, 20, 40, 139, 278, 556, 695, 1112, 1390, 2780, 5560.
What is 5560 in binary?
1010110111000 (hexadecimal 15B8, octal 12670).
What is the square root of 5560?
About 74.5654, exactly 2√1390.
Is 5560 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 5560?
5560 is a happy number: repeatedly adding the squares of its digits reaches 1.