The number 5655
5655 is a composite number with 16 divisors. Its prime factorisation is 3 × 5 × 13 × 29. Divisors (16): 1, 3, 5, 13, 15, 29, 39, 65, 87, 145, 195, 377, 435, 1131, 1885, 5655.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
5655 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
5655 is composite. Its prime factorisation is
- 3
The divisors add up to 10080; without 5655 itself that is 4425, so 5655 is deficient (4425 is less than 5655). Euler's totient φ(5655) = 2688 numbers up to 5655 share no factor with it.
- 4
The digits of 5655 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 111 steps to reach 1.
LaTeX source of the formulas on this page
\[ 5655 = 3 \times 5 \times 13 \times 29 \]
5655 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 10080 |
| Euler totient φ(n) | 2688 |
| Square | 31979025 |
| Cube | 180841386375 |
| Square root | 75.199734 |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 111 |
| Scientific notation | 5.655 × |
5655 in other forms
| Form | Value |
|---|---|
| In words | five thousand six hundred and fifty-five |
| Binary (base 2) | 1011000010111 |
| Octal (base 8) | 13027 |
| Hexadecimal (base 16) | 1617 |
| Base 3 | 21202110 |
| As time | 5655 seconds = 1 h 34 min 15 s |
Is 5655 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 (5655 ÷ 3 = 1885) | 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 (5655 ÷ 5 = 1131) | 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 6) | 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 | No (remainder 3) | 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 1) | 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 5655 a prime number?
No. 5655 = 3 × 5 × 13 × 29, so it is divisible by 3.
What are the factors of 5655?
1, 3, 5, 13, 15, 29, 39, 65, 87, 145, 195, 377, 435, 1131, 1885, 5655.
What is 5655 in binary?
1011000010111 (hexadecimal 1617, octal 13027).
What is the square root of 5655?
About 75.1997.
Is 5655 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 5655?
It is a composite number with 16 divisors.