The number 55540
55540 is a composite number with 12 divisors. Its prime factorisation is × 5 × 2777. Divisors (12): 1, 2, 4, 5, 10, 20, 2777, 5554, 11108, 13885, 27770, 55540.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 55540: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
55540 is composite. Its prime factorisation is
- 3
The divisors add up to 116676; without 55540 itself that is 61136, so 55540 is abundant (61136 is more than 55540). Euler's totient φ(55540) = 22208 numbers up to 55540 share no factor with it.
- 4
The digits of 55540 add up to 19, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 109 steps to reach 1.
LaTeX source of the formulas on this page
\[ 55540 = 2^{2} \times 5 \times 2777 \]55540 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 116676 |
| Euler totient φ(n) | 22208 |
| Square | 3084691600 |
| Cube | 171323771464000 |
| Square root | 235.669260 (= 2√13885) |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 109 |
| Scientific notation | 5.554 × |
55540 in other forms
| Form | Value |
|---|---|
| In words | fifty-five thousand five hundred and forty |
| Binary (base 2) | 1101100011110100 |
| Octal (base 8) | 154364 |
| Hexadecimal (base 16) | D8F4 |
| Base 3 | 2211012001 |
| As time | 55540 seconds = 15 h 25 min 40 s |
Is 55540 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (55540 ÷ 2 = 27770) | 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 (55540 ÷ 4 = 13885) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (55540 ÷ 5 = 11108) | 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 | No (remainder 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 1) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (55540 ÷ 10 = 5554) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 1) | 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 55540 a prime number?
No. 55540 = × 5 × 2777, so it is divisible by 2.
What are the factors of 55540?
1, 2, 4, 5, 10, 20, 2777, 5554, 11108, 13885, 27770, 55540.
What is 55540 in binary?
1101100011110100 (hexadecimal D8F4, octal 154364).
What is the square root of 55540?
About 235.6693, exactly 2√13885.
Is 55540 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 55540?
55540 is a happy number: repeatedly adding the squares of its digits reaches 1.