The number 51993
51993 is a composite number with 12 divisors. Its prime factorisation is × 53 × 109. Divisors (12): 1, 3, 9, 53, 109, 159, 327, 477, 981, 5777, 17331, 51993.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
51993 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
51993 is composite. Its prime factorisation is
- 3
The divisors add up to 77220; without 51993 itself that is 25227, so 51993 is deficient (25227 is less than 51993). Euler's totient φ(51993) = 33696 numbers up to 51993 share no factor with it.
- 4
The digits of 51993 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 171 steps to reach 1.
LaTeX source of the formulas on this page
\[ 51993 = 3^{2} \times 53 \times 109 \]51993 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 77220 |
| Euler totient φ(n) | 33696 |
| Square | 2703272049 |
| Cube | 140551223643657 |
| Square root | 228.019736 (= 3√5777) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 171 |
| Scientific notation | 5.1993 × |
51993 in other forms
| Form | Value |
|---|---|
| In words | fifty-one thousand nine hundred and ninety-three |
| Binary (base 2) | 1100101100011001 |
| Octal (base 8) | 145431 |
| Hexadecimal (base 16) | CB19 |
| Base 3 | 2122022200 |
| As time | 51993 seconds = 14 h 26 min 33 s |
Is 51993 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 (51993 ÷ 3 = 17331) | 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 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 1) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (51993 ÷ 9 = 5777) | 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 7) | 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 51993 a prime number?
No. 51993 = × 53 × 109, so it is divisible by 3.
What are the factors of 51993?
1, 3, 9, 53, 109, 159, 327, 477, 981, 5777, 17331, 51993.
What is 51993 in binary?
1100101100011001 (hexadecimal CB19, octal 145431).
What is the square root of 51993?
About 228.0197, exactly 3√5777.
Is 51993 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 51993?
It is a composite number with 12 divisors.