The number 5520
5520 is a composite number with 40 divisors. Its prime factorisation is × 3 × 5 × 23. Divisors (40): 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 23, 24, 30, 40 … 5520.
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How to work it out
- 1
What is special about 5520: a Harshad number: divisible by its digit sum 12.
- 2
5520 is composite. Its prime factorisation is
- 3
The divisors add up to 17856; without 5520 itself that is 12336, so 5520 is abundant (12336 is more than 5520). Euler's totient φ(5520) = 1408 numbers up to 5520 share no factor with it.
- 4
The digits of 5520 add up to 12, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 129 steps to reach 1.
LaTeX source of the formulas on this page
\[ 5520 = 2^{4} \times 3 \times 5 \times 23 \]5520 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 40 |
| Sum of divisors | 17856 |
| Euler totient φ(n) | 1408 |
| Square | 30470400 |
| Cube | 168196608000 |
| Square root | 74.296702 (= 4√345) |
| Digit sum / digital root | 12 / 3 |
| Collatz steps to 1 | 129 |
| Scientific notation | 5.52 × |
5520 in other forms
| Form | Value |
|---|---|
| In words | five thousand five hundred and twenty |
| Binary (base 2) | 1010110010000 |
| Octal (base 8) | 12620 |
| Hexadecimal (base 16) | 1590 |
| Base 3 | 21120110 |
| As time | 5520 seconds = 1 h 32 min 0 s |
Is 5520 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (5520 ÷ 2 = 2760) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (5520 ÷ 3 = 1840) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (5520 ÷ 4 = 1380) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (5520 ÷ 5 = 1104) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (5520 ÷ 6 = 920) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 4) | 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 (5520 ÷ 8 = 690) | 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 (5520 ÷ 10 = 552) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 9) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (5520 ÷ 12 = 460) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 5520 a prime number?
No. 5520 = × 3 × 5 × 23, so it is divisible by 2.
What are the factors of 5520?
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 23, 24, 30, 40, 46, 48, 60, 69, 80, 92, 115, 120, 138, 184, 230, 240, 276, 345, 368, 460, 552, 690, 920, 1104, 1380, 1840, 2760, 5520.
What is 5520 in binary?
1010110010000 (hexadecimal 1590, octal 12620).
What is the square root of 5520?
About 74.2967, exactly 4√345.
Is 5520 divisible by 3?
Yes. Its digits add up to 12, a multiple of 3.
What is special about the number 5520?
5520 is a Harshad number: divisible by its digit sum 12.