The number 55480
55480 is a composite number with 32 divisors. Its prime factorisation is × 5 × 19 × 73. Divisors (32): 1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 73, 76, 95, 146, 152, 190 … 55480.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 55480: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
55480 is composite. Its prime factorisation is
- 3
The divisors add up to 133200; without 55480 itself that is 77720, so 55480 is abundant (77720 is more than 55480). Euler's totient φ(55480) = 20736 numbers up to 55480 share no factor with it.
- 4
The digits of 55480 add up to 22, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 153 steps to reach 1.
LaTeX source of the formulas on this page
\[ 55480 = 2^{3} \times 5 \times 19 \times 73 \]55480 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 133200 |
| Euler totient φ(n) | 20736 |
| Square | 3078030400 |
| Cube | 170769126592000 |
| Square root | 235.541928 (= 2√13870) |
| Digit sum / digital root | 22 / 4 |
| Collatz steps to 1 | 153 |
| Scientific notation | 5.548 × |
55480 in other forms
| Form | Value |
|---|---|
| In words | fifty-five thousand four hundred and eighty |
| Binary (base 2) | 1101100010111000 |
| Octal (base 8) | 154270 |
| Hexadecimal (base 16) | D8B8 |
| Base 3 | 2211002211 |
| As time | 55480 seconds = 15 h 24 min 40 s |
Is 55480 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (55480 ÷ 2 = 27740) | 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 (55480 ÷ 4 = 13870) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (55480 ÷ 5 = 11096) | 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 5) | 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 (55480 ÷ 8 = 6935) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 4) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (55480 ÷ 10 = 5548) | 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 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 55480 a prime number?
No. 55480 = × 5 × 19 × 73, so it is divisible by 2.
What are the factors of 55480?
1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 73, 76, 95, 146, 152, 190, 292, 365, 380, 584, 730, 760, 1387, 1460, 2774, 2920, 5548, 6935, 11096, 13870, 27740, 55480.
What is 55480 in binary?
1101100010111000 (hexadecimal D8B8, octal 154270).
What is the square root of 55480?
About 235.5419, exactly 2√13870.
Is 55480 divisible by 3?
No. Its digits add up to 22, which is not a multiple of 3.
What is special about the number 55480?
55480 is a happy number: repeatedly adding the squares of its digits reaches 1.