The number 55220
55220 is a composite number with 24 divisors. Its prime factorisation is × 5 × 11 × 251. Divisors (24): 1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220, 251, 502, 1004, 1255 … 55220.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
55220 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
55220 is composite. Its prime factorisation is
- 3
The divisors add up to 127008; without 55220 itself that is 71788, so 55220 is abundant (71788 is more than 55220). Euler's totient φ(55220) = 20000 numbers up to 55220 share no factor with it.
- 4
The digits of 55220 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 60 steps to reach 1.
LaTeX source of the formulas on this page
\[ 55220 = 2^{2} \times 5 \times 11 \times 251 \]55220 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 127008 |
| Euler totient φ(n) | 20000 |
| Square | 3049248400 |
| Cube | 168379496648000 |
| Square root | 234.989361 (= 2√13805) |
| Digit sum / digital root | 14 / 5 |
| Collatz steps to 1 | 60 |
| Scientific notation | 5.522 × |
55220 in other forms
| Form | Value |
|---|---|
| In words | fifty-five thousand two hundred and twenty |
| Binary (base 2) | 1101011110110100 |
| Octal (base 8) | 153664 |
| Hexadecimal (base 16) | D7B4 |
| Base 3 | 2210202012 |
| As time | 55220 seconds = 15 h 20 min 20 s |
Is 55220 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (55220 ÷ 2 = 27610) | 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 (55220 ÷ 4 = 13805) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (55220 ÷ 5 = 11044) | 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 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 | 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 (55220 ÷ 10 = 5522) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (55220 ÷ 11 = 5020) | 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 55220 a prime number?
No. 55220 = × 5 × 11 × 251, so it is divisible by 2.
What are the factors of 55220?
1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220, 251, 502, 1004, 1255, 2510, 2761, 5020, 5522, 11044, 13805, 27610, 55220.
What is 55220 in binary?
1101011110110100 (hexadecimal D7B4, octal 153664).
What is the square root of 55220?
About 234.9894, exactly 2√13805.
Is 55220 divisible by 3?
No. Its digits add up to 14, which is not a multiple of 3.
What is special about the number 55220?
It is a composite number with 24 divisors.