The number 5580
5580 is a composite number with 36 divisors. Its prime factorisation is × × 5 × 31. Divisors (36): 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 31, 36, 45 … 5580.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 5580: a Harshad number: divisible by its digit sum 18.
- 2
5580 is composite. Its prime factorisation is
- 3
The divisors add up to 17472; without 5580 itself that is 11892, so 5580 is abundant (11892 is more than 5580). Euler's totient φ(5580) = 1440 numbers up to 5580 share no factor with it.
- 4
The digits of 5580 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 129 steps to reach 1.
LaTeX source of the formulas on this page
\[ 5580 = 2^{2} \times 3^{2} \times 5 \times 31 \]5580 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 36 |
| Sum of divisors | 17472 |
| Euler totient φ(n) | 1440 |
| Square | 31136400 |
| Cube | 173741112000 |
| Square root | 74.699398 (= 6√155) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 129 |
| Scientific notation | 5.58 × |
5580 in other forms
| Form | Value |
|---|---|
| In words | five thousand five hundred and eighty |
| Binary (base 2) | 1010111001100 |
| Octal (base 8) | 12714 |
| Hexadecimal (base 16) | 15CC |
| Base 3 | 21122200 |
| As time | 5580 seconds = 1 h 33 min 0 s |
Is 5580 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (5580 ÷ 2 = 2790) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (5580 ÷ 3 = 1860) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (5580 ÷ 4 = 1395) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (5580 ÷ 5 = 1116) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (5580 ÷ 6 = 930) | 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 | No (remainder 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (5580 ÷ 9 = 620) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (5580 ÷ 10 = 558) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 3) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (5580 ÷ 12 = 465) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 5580 a prime number?
No. 5580 = × × 5 × 31, so it is divisible by 2.
What are the factors of 5580?
1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 31, 36, 45, 60, 62, 90, 93, 124, 155, 180, 186, 279, 310, 372, 465, 558, 620, 930, 1116, 1395, 1860, 2790, 5580.
What is 5580 in binary?
1010111001100 (hexadecimal 15CC, octal 12714).
What is the square root of 5580?
About 74.6994, exactly 6√155.
Is 5580 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 5580?
5580 is a Harshad number: divisible by its digit sum 18.