The number 52335
52335 is a composite number with 12 divisors. Its prime factorisation is × 5 × 1163. Divisors (12): 1, 3, 5, 9, 15, 45, 1163, 3489, 5815, 10467, 17445, 52335.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
52335 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
52335 is composite. Its prime factorisation is
- 3
The divisors add up to 90792; without 52335 itself that is 38457, so 52335 is deficient (38457 is less than 52335). Euler's totient φ(52335) = 27888 numbers up to 52335 share no factor with it.
- 4
The digits of 52335 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 127 steps to reach 1.
LaTeX source of the formulas on this page
\[ 52335 = 3^{2} \times 5 \times 1163 \]52335 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 90792 |
| Euler totient φ(n) | 27888 |
| Square | 2738952225 |
| Cube | 143343064695375 |
| Square root | 228.768442 (= 3√5815) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 127 |
| Scientific notation | 5.2335 × |
52335 in other forms
| Form | Value |
|---|---|
| In words | fifty-two thousand three hundred and thirty-five |
| Binary (base 2) | 1100110001101111 |
| Octal (base 8) | 146157 |
| Hexadecimal (base 16) | CC6F |
| Base 3 | 2122210100 |
| As time | 52335 seconds = 14 h 32 min 15 s |
Is 52335 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 (52335 ÷ 3 = 17445) | 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 (52335 ÷ 5 = 10467) | 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 3) | 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 (52335 ÷ 9 = 5815) | 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 8) | 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 52335 a prime number?
No. 52335 = × 5 × 1163, so it is divisible by 3.
What are the factors of 52335?
1, 3, 5, 9, 15, 45, 1163, 3489, 5815, 10467, 17445, 52335.
What is 52335 in binary?
1100110001101111 (hexadecimal CC6F, octal 146157).
What is the square root of 52335?
About 228.7684, exactly 3√5815.
Is 52335 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 52335?
It is a composite number with 12 divisors.