The number 52364
52364 is a composite number with 24 divisors. Its prime factorisation is × 13 × 19 × 53. Divisors (24): 1, 2, 4, 13, 19, 26, 38, 52, 53, 76, 106, 212, 247, 494, 689, 988 … 52364.
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How to work it out
- 1
52364 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
52364 is composite. Its prime factorisation is
- 3
The divisors add up to 105840; without 52364 itself that is 53476, so 52364 is abundant (53476 is more than 52364). Euler's totient φ(52364) = 22464 numbers up to 52364 share no factor with it.
- 4
The digits of 52364 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 140 steps to reach 1.
LaTeX source of the formulas on this page
\[ 52364 = 2^{2} \times 13 \times 19 \times 53 \]52364 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 105840 |
| Euler totient φ(n) | 22464 |
| Square | 2741988496 |
| Cube | 143581485604544 |
| Square root | 228.831816 (= 2√13091) |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 140 |
| Scientific notation | 5.2364 × |
52364 in other forms
| Form | Value |
|---|---|
| In words | fifty-two thousand three hundred and sixty-four |
| Binary (base 2) | 1100110010001100 |
| Octal (base 8) | 146214 |
| Hexadecimal (base 16) | CC8C |
| Base 3 | 2122211102 |
| As time | 52364 seconds = 14 h 32 min 44 s |
Is 52364 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (52364 ÷ 2 = 26182) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 2) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (52364 ÷ 4 = 13091) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 4) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 4) | 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 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 2) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 4) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 4) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 52364 a prime number?
No. 52364 = × 13 × 19 × 53, so it is divisible by 2.
What are the factors of 52364?
1, 2, 4, 13, 19, 26, 38, 52, 53, 76, 106, 212, 247, 494, 689, 988, 1007, 1378, 2014, 2756, 4028, 13091, 26182, 52364.
What is 52364 in binary?
1100110010001100 (hexadecimal CC8C, octal 146214).
What is the square root of 52364?
About 228.8318, exactly 2√13091.
Is 52364 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 52364?
It is a composite number with 24 divisors.