The number 5355
5355 is a composite number with 24 divisors. Its prime factorisation is × 5 × 7 × 17. Divisors (24): 1, 3, 5, 7, 9, 15, 17, 21, 35, 45, 51, 63, 85, 105, 119, 153 … 5355.
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How to work it out
- 1
5355 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
5355 is composite. Its prime factorisation is
- 3
The divisors add up to 11232; without 5355 itself that is 5877, so 5355 is abundant (5877 is more than 5355). Euler's totient φ(5355) = 2304 numbers up to 5355 share no factor with it.
- 4
The digits of 5355 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 98 steps to reach 1.
LaTeX source of the formulas on this page
\[ 5355 = 3^{2} \times 5 \times 7 \times 17 \]5355 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 11232 |
| Euler totient φ(n) | 2304 |
| Square | 28676025 |
| Cube | 153560113875 |
| Square root | 73.177866 (= 3√595) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 98 |
| Scientific notation | 5.355 × |
5355 in other forms
| Form | Value |
|---|---|
| In words | five thousand three hundred and fifty-five |
| Binary (base 2) | 1010011101011 |
| Octal (base 8) | 12353 |
| Hexadecimal (base 16) | 14EB |
| Base 3 | 21100100 |
| As time | 5355 seconds = 1 h 29 min 15 s |
Is 5355 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 (5355 ÷ 3 = 1785) | 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 (5355 ÷ 5 = 1071) | 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 | Yes (5355 ÷ 7 = 765) | 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 3) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (5355 ÷ 9 = 595) | 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 9) | 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 5355 a prime number?
No. 5355 = × 5 × 7 × 17, so it is divisible by 3.
What are the factors of 5355?
1, 3, 5, 7, 9, 15, 17, 21, 35, 45, 51, 63, 85, 105, 119, 153, 255, 315, 357, 595, 765, 1071, 1785, 5355.
What is 5355 in binary?
1010011101011 (hexadecimal 14EB, octal 12353).
What is the square root of 5355?
About 73.1779, exactly 3√595.
Is 5355 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 5355?
It is a composite number with 24 divisors.