The number 53764
53764 is a composite number with 6 divisors. Its prime factorisation is × 13441. Divisors (6): 1, 2, 4, 13441, 26882, 53764.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
53764 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
53764 is composite. Its prime factorisation is
- 3
The divisors add up to 94094; without 53764 itself that is 40330, so 53764 is deficient (40330 is less than 53764). Euler's totient φ(53764) = 26880 numbers up to 53764 share no factor with it.
- 4
The digits of 53764 add up to 25, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 91 steps to reach 1.
LaTeX source of the formulas on this page
\[ 53764 = 2^{2} \times 13441 \]53764 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 94094 |
| Euler totient φ(n) | 26880 |
| Square | 2890567696 |
| Cube | 155408481607744 |
| Square root | 231.870654 (= 2√13441) |
| Digit sum / digital root | 25 / 7 |
| Collatz steps to 1 | 91 |
| Scientific notation | 5.3764 × |
53764 in other forms
| Form | Value |
|---|---|
| In words | fifty-three thousand seven hundred and sixty-four |
| Binary (base 2) | 1101001000000100 |
| Octal (base 8) | 151004 |
| Hexadecimal (base 16) | D204 |
| Base 3 | 2201202021 |
| As time | 53764 seconds = 14 h 56 min 4 s |
Is 53764 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (53764 ÷ 2 = 26882) | 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 (53764 ÷ 4 = 13441) | 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 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 7) | 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 7) | 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 53764 a prime number?
No. 53764 = × 13441, so it is divisible by 2.
What are the factors of 53764?
1, 2, 4, 13441, 26882, 53764.
What is 53764 in binary?
1101001000000100 (hexadecimal D204, octal 151004).
What is the square root of 53764?
About 231.8707, exactly 2√13441.
Is 53764 divisible by 3?
No. Its digits add up to 25, which is not a multiple of 3.
What is special about the number 53764?
It is a composite number with 6 divisors.