The number 55580
55580 is a composite number with 24 divisors. Its prime factorisation is × 5 × 7 × 397. Divisors (24): 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140, 397, 794, 1588, 1985 … 55580.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 55580: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
55580 is composite. Its prime factorisation is
- 3
The divisors add up to 133728; without 55580 itself that is 78148, so 55580 is abundant (78148 is more than 55580). Euler's totient φ(55580) = 19008 numbers up to 55580 share no factor with it.
- 4
The digits of 55580 add up to 23, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 140 steps to reach 1.
LaTeX source of the formulas on this page
\[ 55580 = 2^{2} \times 5 \times 7 \times 397 \]55580 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 133728 |
| Euler totient φ(n) | 19008 |
| Square | 3089136400 |
| Cube | 171694201112000 |
| Square root | 235.754109 (= 2√13895) |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 140 |
| Scientific notation | 5.558 × |
55580 in other forms
| Form | Value |
|---|---|
| In words | fifty-five thousand five hundred and eighty |
| Binary (base 2) | 1101100100011100 |
| Octal (base 8) | 154434 |
| Hexadecimal (base 16) | D91C |
| Base 3 | 2211020112 |
| As time | 55580 seconds = 15 h 26 min 20 s |
Is 55580 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (55580 ÷ 2 = 27790) | 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 (55580 ÷ 4 = 13895) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (55580 ÷ 5 = 11116) | 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 | Yes (55580 ÷ 7 = 7940) | 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 (55580 ÷ 10 = 5558) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 8) | 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 55580 a prime number?
No. 55580 = × 5 × 7 × 397, so it is divisible by 2.
What are the factors of 55580?
1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140, 397, 794, 1588, 1985, 2779, 3970, 5558, 7940, 11116, 13895, 27790, 55580.
What is 55580 in binary?
1101100100011100 (hexadecimal D91C, octal 154434).
What is the square root of 55580?
About 235.7541, exactly 2√13895.
Is 55580 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 55580?
55580 is a happy number: repeatedly adding the squares of its digits reaches 1.