The number 5540
5540 is a composite number with 12 divisors. Its prime factorisation is × 5 × 277. Divisors (12): 1, 2, 4, 5, 10, 20, 277, 554, 1108, 1385, 2770, 5540.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
5540 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
5540 is composite. Its prime factorisation is
- 3
The divisors add up to 11676; without 5540 itself that is 6136, so 5540 is abundant (6136 is more than 5540). Euler's totient φ(5540) = 2208 numbers up to 5540 share no factor with it.
- 4
The digits of 5540 add up to 14, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 67 steps to reach 1.
LaTeX source of the formulas on this page
\[ 5540 = 2^{2} \times 5 \times 277 \]5540 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 11676 |
| Euler totient φ(n) | 2208 |
| Square | 30691600 |
| Cube | 170031464000 |
| Square root | 74.431176 (= 2√1385) |
| Digit sum / digital root | 14 / 5 |
| Collatz steps to 1 | 67 |
| Scientific notation | 5.54 × |
5540 in other forms
| Form | Value |
|---|---|
| In words | five thousand five hundred and forty |
| Binary (base 2) | 1010110100100 |
| Octal (base 8) | 12644 |
| Hexadecimal (base 16) | 15A4 |
| Base 3 | 21121012 |
| As time | 5540 seconds = 1 h 32 min 20 s |
Is 5540 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (5540 ÷ 2 = 2770) | 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 (5540 ÷ 4 = 1385) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (5540 ÷ 5 = 1108) | 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 3) | 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 | No (remainder 5) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (5540 ÷ 10 = 554) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 7) | 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 5540 a prime number?
No. 5540 = × 5 × 277, so it is divisible by 2.
What are the factors of 5540?
1, 2, 4, 5, 10, 20, 277, 554, 1108, 1385, 2770, 5540.
What is 5540 in binary?
1010110100100 (hexadecimal 15A4, octal 12644).
What is the square root of 5540?
About 74.4312, exactly 2√1385.
Is 5540 divisible by 3?
No. Its digits add up to 14, which is not a multiple of 3.
What is special about the number 5540?
It is a composite number with 12 divisors.