The number 53793
53793 is a composite number with 12 divisors. Its prime factorisation is × 43 × 139. Divisors (12): 1, 3, 9, 43, 129, 139, 387, 417, 1251, 5977, 17931, 53793.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
53793 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
53793 is composite. Its prime factorisation is
- 3
The divisors add up to 80080; without 53793 itself that is 26287, so 53793 is deficient (26287 is less than 53793). Euler's totient φ(53793) = 34776 numbers up to 53793 share no factor with it.
- 4
The digits of 53793 add up to 27, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 215 steps to reach 1.
LaTeX source of the formulas on this page
\[ 53793 = 3^{2} \times 43 \times 139 \]53793 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 80080 |
| Euler totient φ(n) | 34776 |
| Square | 2893686849 |
| Cube | 155660096668257 |
| Square root | 231.933180 (= 3√5977) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 215 |
| Scientific notation | 5.3793 × |
53793 in other forms
| Form | Value |
|---|---|
| In words | fifty-three thousand seven hundred and ninety-three |
| Binary (base 2) | 1101001000100001 |
| Octal (base 8) | 151041 |
| Hexadecimal (base 16) | D221 |
| Base 3 | 2201210100 |
| As time | 53793 seconds = 14 h 56 min 33 s |
Is 53793 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (53793 ÷ 3 = 17931) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 1) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 3) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 3) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 5) | 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 1) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (53793 ÷ 9 = 5977) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 3) | 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 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 53793 a prime number?
No. 53793 = × 43 × 139, so it is divisible by 3.
What are the factors of 53793?
1, 3, 9, 43, 129, 139, 387, 417, 1251, 5977, 17931, 53793.
What is 53793 in binary?
1101001000100001 (hexadecimal D221, octal 151041).
What is the square root of 53793?
About 231.9332, exactly 3√5977.
Is 53793 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 53793?
It is a composite number with 12 divisors.