The number 53264
53264 is a composite number with 10 divisors. Its prime factorisation is × 3329. Divisors (10): 1, 2, 4, 8, 16, 3329, 6658, 13316, 26632, 53264.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
53264 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
53264 is composite. Its prime factorisation is
- 3
The divisors add up to 103230; without 53264 itself that is 49966, so 53264 is deficient (49966 is less than 53264). Euler's totient φ(53264) = 26624 numbers up to 53264 share no factor with it.
- 4
The digits of 53264 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 96 steps to reach 1.
LaTeX source of the formulas on this page
\[ 53264 = 2^{4} \times 3329 \]53264 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 10 |
| Sum of divisors | 103230 |
| Euler totient φ(n) | 26624 |
| Square | 2837053696 |
| Cube | 151112828063744 |
| Square root | 230.789948 (= 4√3329) |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 96 |
| Scientific notation | 5.3264 × |
53264 in other forms
| Form | Value |
|---|---|
| In words | fifty-three thousand two hundred and sixty-four |
| Binary (base 2) | 1101000000010000 |
| Octal (base 8) | 150020 |
| Hexadecimal (base 16) | D010 |
| Base 3 | 2201001202 |
| As time | 53264 seconds = 14 h 47 min 44 s |
Is 53264 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (53264 ÷ 2 = 26632) | 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 (53264 ÷ 4 = 13316) | 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 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 (53264 ÷ 8 = 6658) | 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 2) | 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 53264 a prime number?
No. 53264 = × 3329, so it is divisible by 2.
What are the factors of 53264?
1, 2, 4, 8, 16, 3329, 6658, 13316, 26632, 53264.
What is 53264 in binary?
1101000000010000 (hexadecimal D010, octal 150020).
What is the square root of 53264?
About 230.7899, exactly 4√3329.
Is 53264 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 53264?
It is a composite number with 10 divisors.