The number 55520
55520 is a composite number with 24 divisors. Its prime factorisation is × 5 × 347. Divisors (24): 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160, 347, 694, 1388, 1735 … 55520.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 55520: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
55520 is composite. Its prime factorisation is
- 3
The divisors add up to 131544; without 55520 itself that is 76024, so 55520 is abundant (76024 is more than 55520). Euler's totient φ(55520) = 22144 numbers up to 55520 share no factor with it.
- 4
The digits of 55520 add up to 17, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 109 steps to reach 1.
LaTeX source of the formulas on this page
\[ 55520 = 2^{5} \times 5 \times 347 \]55520 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 131544 |
| Euler totient φ(n) | 22144 |
| Square | 3082470400 |
| Cube | 171138756608000 |
| Square root | 235.626824 (= 4√3470) |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 109 |
| Scientific notation | 5.552 × |
55520 in other forms
| Form | Value |
|---|---|
| In words | fifty-five thousand five hundred and twenty |
| Binary (base 2) | 1101100011100000 |
| Octal (base 8) | 154340 |
| Hexadecimal (base 16) | D8E0 |
| Base 3 | 2211011022 |
| As time | 55520 seconds = 15 h 25 min 20 s |
Is 55520 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (55520 ÷ 2 = 27760) | 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 (55520 ÷ 4 = 13880) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (55520 ÷ 5 = 11104) | 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 | Yes (55520 ÷ 8 = 6940) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 8) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (55520 ÷ 10 = 5552) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 3) | 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 55520 a prime number?
No. 55520 = × 5 × 347, so it is divisible by 2.
What are the factors of 55520?
1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160, 347, 694, 1388, 1735, 2776, 3470, 5552, 6940, 11104, 13880, 27760, 55520.
What is 55520 in binary?
1101100011100000 (hexadecimal D8E0, octal 154340).
What is the square root of 55520?
About 235.6268, exactly 4√3470.
Is 55520 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 55520?
55520 is a happy number: repeatedly adding the squares of its digits reaches 1.