The number 52536
52536 is a composite number with 32 divisors. Its prime factorisation is × 3 × 11 × 199. Divisors (32): 1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 199 … 52536.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
52536 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
52536 is composite. Its prime factorisation is
- 3
The divisors add up to 144000; without 52536 itself that is 91464, so 52536 is abundant (91464 is more than 52536). Euler's totient φ(52536) = 15840 numbers up to 52536 share no factor with it.
- 4
The digits of 52536 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 78 steps to reach 1.
LaTeX source of the formulas on this page
\[ 52536 = 2^{3} \times 3 \times 11 \times 199 \]52536 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 144000 |
| Euler totient φ(n) | 15840 |
| Square | 2760031296 |
| Cube | 145001004166656 |
| Square root | 229.207330 (= 2√13134) |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 78 |
| Scientific notation | 5.2536 × |
52536 in other forms
| Form | Value |
|---|---|
| In words | fifty-two thousand five hundred and thirty-six |
| Binary (base 2) | 1100110100111000 |
| Octal (base 8) | 146470 |
| Hexadecimal (base 16) | CD38 |
| Base 3 | 2200001210 |
| As time | 52536 seconds = 14 h 35 min 36 s |
Is 52536 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (52536 ÷ 2 = 26268) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (52536 ÷ 3 = 17512) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (52536 ÷ 4 = 13134) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 1) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (52536 ÷ 6 = 8756) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 1) | 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 | Yes (52536 ÷ 8 = 6567) | 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 6) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (52536 ÷ 11 = 4776) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (52536 ÷ 12 = 4378) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 52536 a prime number?
No. 52536 = × 3 × 11 × 199, so it is divisible by 2.
What are the factors of 52536?
1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 199, 264, 398, 597, 796, 1194, 1592, 2189, 2388, 4378, 4776, 6567, 8756, 13134, 17512, 26268, 52536.
What is 52536 in binary?
1100110100111000 (hexadecimal CD38, octal 146470).
What is the square root of 52536?
About 229.2073, exactly 2√13134.
Is 52536 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 52536?
It is a composite number with 32 divisors.