The number 15993
15993 is a composite number with 6 divisors. Its prime factorisation is × 1777. Divisors (6): 1, 3, 9, 1777, 5331, 15993.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
15993 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
15993 is composite. Its prime factorisation is
- 3
The divisors add up to 23114; without 15993 itself that is 7121, so 15993 is deficient (7121 is less than 15993). Euler's totient φ(15993) = 10656 numbers up to 15993 share no factor with it.
- 4
The digits of 15993 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 190 steps to reach 1.
LaTeX source of the formulas on this page
\[ 15993 = 3^{2} \times 1777 \]15993 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 23114 |
| Euler totient φ(n) | 10656 |
| Square | 255776049 |
| Cube | 4090626351657 |
| Square root | 126.463433 (= 3√1777) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 190 |
| Scientific notation | 1.5993 × |
15993 in other forms
| Form | Value |
|---|---|
| In words | fifteen thousand nine hundred and ninety-three |
| Binary (base 2) | 11111001111001 |
| Octal (base 8) | 37171 |
| Hexadecimal (base 16) | 3E79 |
| Base 3 | 210221100 |
| As time | 15993 seconds = 4 h 26 min 33 s |
Is 15993 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 (15993 ÷ 3 = 5331) | 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 (15993 ÷ 9 = 1777) | 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 10) | 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 15993 a prime number?
No. 15993 = × 1777, so it is divisible by 3.
What are the factors of 15993?
1, 3, 9, 1777, 5331, 15993.
What is 15993 in binary?
11111001111001 (hexadecimal 3E79, octal 37171).
What is the square root of 15993?
About 126.4634, exactly 3√1777.
Is 15993 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 15993?
It is a composite number with 6 divisors.