The number 5665
5665 is a palindrome: it reads 5665 backwards too. Its prime factorisation is 5 × 11 × 103. Divisors (8): 1, 5, 11, 55, 103, 515, 1133, 5665.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 5665: a palindrome: it reads 5665 backwards too.
- 2
5665 is composite. Its prime factorisation is
- 3
The divisors add up to 7488; without 5665 itself that is 1823, so 5665 is deficient (1823 is less than 5665). Euler's totient φ(5665) = 4080 numbers up to 5665 share no factor with it.
- 4
The digits of 5665 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 129 steps to reach 1.
LaTeX source of the formulas on this page
\[ 5665 = 5 \times 11 \times 103 \]
5665 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 7488 |
| Euler totient φ(n) | 4080 |
| Square | 32092225 |
| Cube | 181802454625 |
| Square root | 75.266194 |
| Digit sum / digital root | 22 / 4 |
| Collatz steps to 1 | 129 |
| Scientific notation | 5.665 × |
5665 in other forms
| Form | Value |
|---|---|
| In words | five thousand six hundred and sixty-five |
| Binary (base 2) | 1011000100001 |
| Octal (base 8) | 13041 |
| Hexadecimal (base 16) | 1621 |
| Base 3 | 21202211 |
| As time | 5665 seconds = 1 h 34 min 25 s |
Is 5665 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 | No (remainder 1) | 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 (5665 ÷ 5 = 1133) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 1) | 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 1) | 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 | No (remainder 5) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (5665 ÷ 11 = 515) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 1) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 5665 a prime number?
No. 5665 = 5 × 11 × 103, so it is divisible by 5.
What are the factors of 5665?
1, 5, 11, 55, 103, 515, 1133, 5665.
What is 5665 in binary?
1011000100001 (hexadecimal 1621, octal 13041).
What is the square root of 5665?
About 75.2662.
Is 5665 divisible by 3?
No. Its digits add up to 22, which is not a multiple of 3.
What is special about the number 5665?
5665 is a palindrome: it reads 5665 backwards too.