The number 15996
15996 is a composite number with 24 divisors. Its prime factorisation is × 3 × 31 × 43. Divisors (24): 1, 2, 3, 4, 6, 12, 31, 43, 62, 86, 93, 124, 129, 172, 186, 258 … 15996.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
15996 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
15996 is composite. Its prime factorisation is
- 3
The divisors add up to 39424; without 15996 itself that is 23428, so 15996 is abundant (23428 is more than 15996). Euler's totient φ(15996) = 5040 numbers up to 15996 share no factor with it.
- 4
The digits of 15996 add up to 30, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 190 steps to reach 1.
LaTeX source of the formulas on this page
\[ 15996 = 2^{2} \times 3 \times 31 \times 43 \]15996 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 39424 |
| Euler totient φ(n) | 5040 |
| Square | 255872016 |
| Cube | 4092928767936 |
| Square root | 126.475294 (= 2√3999) |
| Digit sum / digital root | 30 / 3 |
| Collatz steps to 1 | 190 |
| Scientific notation | 1.5996 × |
15996 in other forms
| Form | Value |
|---|---|
| In words | fifteen thousand nine hundred and ninety-six |
| Binary (base 2) | 11111001111100 |
| Octal (base 8) | 37174 |
| Hexadecimal (base 16) | 3E7C |
| Base 3 | 210221110 |
| As time | 15996 seconds = 4 h 26 min 36 s |
Is 15996 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (15996 ÷ 2 = 7998) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (15996 ÷ 3 = 5332) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (15996 ÷ 4 = 3999) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 1) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (15996 ÷ 6 = 2666) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 1) | 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 6) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 2) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (15996 ÷ 12 = 1333) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 15996 a prime number?
No. 15996 = × 3 × 31 × 43, so it is divisible by 2.
What are the factors of 15996?
1, 2, 3, 4, 6, 12, 31, 43, 62, 86, 93, 124, 129, 172, 186, 258, 372, 516, 1333, 2666, 3999, 5332, 7998, 15996.
What is 15996 in binary?
11111001111100 (hexadecimal 3E7C, octal 37174).
What is the square root of 15996?
About 126.4753, exactly 2√3999.
Is 15996 divisible by 3?
Yes. Its digits add up to 30, a multiple of 3.
What is special about the number 15996?
It is a composite number with 24 divisors.