The number 55665
55665 is a composite number with 12 divisors. Its prime factorisation is × 5 × 1237. Divisors (12): 1, 3, 5, 9, 15, 45, 1237, 3711, 6185, 11133, 18555, 55665.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
55665 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
55665 is composite. Its prime factorisation is
- 3
The divisors add up to 96564; without 55665 itself that is 40899, so 55665 is deficient (40899 is less than 55665). Euler's totient φ(55665) = 29664 numbers up to 55665 share no factor with it.
- 4
The digits of 55665 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 60 steps to reach 1.
LaTeX source of the formulas on this page
\[ 55665 = 3^{2} \times 5 \times 1237 \]55665 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 96564 |
| Euler totient φ(n) | 29664 |
| Square | 3098592225 |
| Cube | 172483136204625 |
| Square root | 235.934313 (= 3√6185) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 60 |
| Scientific notation | 5.5665 × |
55665 in other forms
| Form | Value |
|---|---|
| In words | fifty-five thousand six hundred and sixty-five |
| Binary (base 2) | 1101100101110001 |
| Octal (base 8) | 154561 |
| Hexadecimal (base 16) | D971 |
| Base 3 | 2211100200 |
| As time | 55665 seconds = 15 h 27 min 45 s |
Is 55665 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 (55665 ÷ 3 = 18555) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 1) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (55665 ÷ 5 = 11133) | 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 1) | 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 1) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (55665 ÷ 9 = 6185) | 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 5) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 55665 a prime number?
No. 55665 = × 5 × 1237, so it is divisible by 3.
What are the factors of 55665?
1, 3, 5, 9, 15, 45, 1237, 3711, 6185, 11133, 18555, 55665.
What is 55665 in binary?
1101100101110001 (hexadecimal D971, octal 154561).
What is the square root of 55665?
About 235.9343, exactly 3√6185.
Is 55665 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 55665?
It is a composite number with 12 divisors.