The number 52264
52264 is a composite number with 16 divisors. Its prime factorisation is × 47 × 139. Divisors (16): 1, 2, 4, 8, 47, 94, 139, 188, 278, 376, 556, 1112, 6533, 13066, 26132, 52264.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
52264 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
52264 is composite. Its prime factorisation is
- 3
The divisors add up to 100800; without 52264 itself that is 48536, so 52264 is deficient (48536 is less than 52264). Euler's totient φ(52264) = 25392 numbers up to 52264 share no factor with it.
- 4
The digits of 52264 add up to 19, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 140 steps to reach 1.
LaTeX source of the formulas on this page
\[ 52264 = 2^{3} \times 47 \times 139 \]52264 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 100800 |
| Euler totient φ(n) | 25392 |
| Square | 2731525696 |
| Cube | 142760458975744 |
| Square root | 228.613210 (= 2√13066) |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 140 |
| Scientific notation | 5.2264 × |
52264 in other forms
| Form | Value |
|---|---|
| In words | fifty-two thousand two hundred and sixty-four |
| Binary (base 2) | 1100110000101000 |
| Octal (base 8) | 146050 |
| Hexadecimal (base 16) | CC28 |
| Base 3 | 2122200201 |
| As time | 52264 seconds = 14 h 31 min 4 s |
Is 52264 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (52264 ÷ 2 = 26132) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 1) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (52264 ÷ 4 = 13066) | 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 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 2) | 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 (52264 ÷ 8 = 6533) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 1) | 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 3) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 52264 a prime number?
No. 52264 = × 47 × 139, so it is divisible by 2.
What are the factors of 52264?
1, 2, 4, 8, 47, 94, 139, 188, 278, 376, 556, 1112, 6533, 13066, 26132, 52264.
What is 52264 in binary?
1100110000101000 (hexadecimal CC28, octal 146050).
What is the square root of 52264?
About 228.6132, exactly 2√13066.
Is 52264 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 52264?
It is a composite number with 16 divisors.