The number 53364
53364 is a composite number with 12 divisors. Its prime factorisation is × 3 × 4447. Divisors (12): 1, 2, 3, 4, 6, 12, 4447, 8894, 13341, 17788, 26682, 53364.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
53364 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
53364 is composite. Its prime factorisation is
- 3
The divisors add up to 124544; without 53364 itself that is 71180, so 53364 is abundant (71180 is more than 53364). Euler's totient φ(53364) = 17784 numbers up to 53364 share no factor with it.
- 4
The digits of 53364 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 184 steps to reach 1.
LaTeX source of the formulas on this page
\[ 53364 = 2^{2} \times 3 \times 4447 \]53364 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 124544 |
| Euler totient φ(n) | 17784 |
| Square | 2847716496 |
| Cube | 151965543092544 |
| Square root | 231.006493 (= 2√13341) |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 184 |
| Scientific notation | 5.3364 × |
53364 in other forms
| Form | Value |
|---|---|
| In words | fifty-three thousand three hundred and sixty-four |
| Binary (base 2) | 1101000001110100 |
| Octal (base 8) | 150164 |
| Hexadecimal (base 16) | D074 |
| Base 3 | 2201012110 |
| As time | 53364 seconds = 14 h 49 min 24 s |
Is 53364 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (53364 ÷ 2 = 26682) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (53364 ÷ 3 = 17788) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (53364 ÷ 4 = 13341) | 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 | Yes (53364 ÷ 6 = 8894) | 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 4) | 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 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 | Yes (53364 ÷ 12 = 4447) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 53364 a prime number?
No. 53364 = × 3 × 4447, so it is divisible by 2.
What are the factors of 53364?
1, 2, 3, 4, 6, 12, 4447, 8894, 13341, 17788, 26682, 53364.
What is 53364 in binary?
1101000001110100 (hexadecimal D074, octal 150164).
What is the square root of 53364?
About 231.0065, exactly 2√13341.
Is 53364 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 53364?
It is a composite number with 12 divisors.