The number 55575
55575 is a composite number with 36 divisors. Its prime factorisation is × × 13 × 19. Divisors (36): 1, 3, 5, 9, 13, 15, 19, 25, 39, 45, 57, 65, 75, 95, 117, 171 … 55575.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
55575 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
55575 is composite. Its prime factorisation is
- 3
The divisors add up to 112840; without 55575 itself that is 57265, so 55575 is abundant (57265 is more than 55575). Euler's totient φ(55575) = 25920 numbers up to 55575 share no factor with it.
- 4
The digits of 55575 add up to 27, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 140 steps to reach 1.
LaTeX source of the formulas on this page
\[ 55575 = 3^{2} \times 5^{2} \times 13 \times 19 \]55575 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 36 |
| Sum of divisors | 112840 |
| Euler totient φ(n) | 25920 |
| Square | 3088580625 |
| Cube | 171647868234375 |
| Square root | 235.743505 (= 15√247) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 140 |
| Scientific notation | 5.5575 × |
55575 in other forms
| Form | Value |
|---|---|
| In words | fifty-five thousand five hundred and seventy-five |
| Binary (base 2) | 1101100100010111 |
| Octal (base 8) | 154427 |
| Hexadecimal (base 16) | D917 |
| Base 3 | 2211020100 |
| As time | 55575 seconds = 15 h 26 min 15 s |
Is 55575 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (55575 ÷ 3 = 18525) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 3) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (55575 ÷ 5 = 11115) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 3) | 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 7) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (55575 ÷ 9 = 6175) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 5) | 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 3) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 55575 a prime number?
No. 55575 = × × 13 × 19, so it is divisible by 3.
What are the factors of 55575?
1, 3, 5, 9, 13, 15, 19, 25, 39, 45, 57, 65, 75, 95, 117, 171, 195, 225, 247, 285, 325, 475, 585, 741, 855, 975, 1235, 1425, 2223, 2925, 3705, 4275, 6175, 11115, 18525, 55575.
What is 55575 in binary?
1101100100010111 (hexadecimal D917, octal 154427).
What is the square root of 55575?
About 235.7435, exactly 15√247.
Is 55575 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 55575?
It is a composite number with 36 divisors.