The number 55260
55260 is a composite number with 36 divisors. Its prime factorisation is × × 5 × 307. Divisors (36): 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60 … 55260.
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How to work it out
- 1
What is special about 55260: a Harshad number: divisible by its digit sum 18.
- 2
55260 is composite. Its prime factorisation is
- 3
The divisors add up to 168168; without 55260 itself that is 112908, so 55260 is abundant (112908 is more than 55260). Euler's totient φ(55260) = 14688 numbers up to 55260 share no factor with it.
- 4
The digits of 55260 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 122 steps to reach 1.
LaTeX source of the formulas on this page
\[ 55260 = 2^{2} \times 3^{2} \times 5 \times 307 \]55260 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 36 |
| Sum of divisors | 168168 |
| Euler totient φ(n) | 14688 |
| Square | 3053667600 |
| Cube | 168745671576000 |
| Square root | 235.074456 (= 6√1535) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 122 |
| Scientific notation | 5.526 × |
55260 in other forms
| Form | Value |
|---|---|
| In words | fifty-five thousand two hundred and sixty |
| Binary (base 2) | 1101011111011100 |
| Octal (base 8) | 153734 |
| Hexadecimal (base 16) | D7DC |
| Base 3 | 2210210200 |
| As time | 55260 seconds = 15 h 21 min 0 s |
Is 55260 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (55260 ÷ 2 = 27630) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (55260 ÷ 3 = 18420) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (55260 ÷ 4 = 13815) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (55260 ÷ 5 = 11052) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (55260 ÷ 6 = 9210) | 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 | Yes (55260 ÷ 9 = 6140) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (55260 ÷ 10 = 5526) | 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 | Yes (55260 ÷ 12 = 4605) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 55260 a prime number?
No. 55260 = × × 5 × 307, so it is divisible by 2.
What are the factors of 55260?
1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180, 307, 614, 921, 1228, 1535, 1842, 2763, 3070, 3684, 4605, 5526, 6140, 9210, 11052, 13815, 18420, 27630, 55260.
What is 55260 in binary?
1101011111011100 (hexadecimal D7DC, octal 153734).
What is the square root of 55260?
About 235.0745, exactly 6√1535.
Is 55260 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 55260?
55260 is a Harshad number: divisible by its digit sum 18.