The number 5535
5535 is a composite number with 16 divisors. Its prime factorisation is × 5 × 41. Divisors (16): 1, 3, 5, 9, 15, 27, 41, 45, 123, 135, 205, 369, 615, 1107, 1845, 5535.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
5535 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
5535 is composite. Its prime factorisation is
- 3
The divisors add up to 10080; without 5535 itself that is 4545, so 5535 is deficient (4545 is less than 5535). Euler's totient φ(5535) = 2880 numbers up to 5535 share no factor with it.
- 4
The digits of 5535 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 129 steps to reach 1.
LaTeX source of the formulas on this page
\[ 5535 = 3^{3} \times 5 \times 41 \]5535 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 10080 |
| Euler totient φ(n) | 2880 |
| Square | 30636225 |
| Cube | 169571505375 |
| Square root | 74.397581 (= 3√615) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 129 |
| Scientific notation | 5.535 × |
5535 in other forms
| Form | Value |
|---|---|
| In words | five thousand five hundred and thirty-five |
| Binary (base 2) | 1010110011111 |
| Octal (base 8) | 12637 |
| Hexadecimal (base 16) | 159F |
| Base 3 | 21121000 |
| As time | 5535 seconds = 1 h 32 min 15 s |
Is 5535 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 (5535 ÷ 3 = 1845) | 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 (5535 ÷ 5 = 1107) | 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 5) | 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 (5535 ÷ 9 = 615) | 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 2) | 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 5535 a prime number?
No. 5535 = × 5 × 41, so it is divisible by 3.
What are the factors of 5535?
1, 3, 5, 9, 15, 27, 41, 45, 123, 135, 205, 369, 615, 1107, 1845, 5535.
What is 5535 in binary?
1010110011111 (hexadecimal 159F, octal 12637).
What is the square root of 5535?
About 74.3976, exactly 3√615.
Is 5535 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 5535?
It is a composite number with 16 divisors.