The number 15016
15016 is a composite number with 8 divisors. Its prime factorisation is × 1877. Divisors (8): 1, 2, 4, 8, 1877, 3754, 7508, 15016.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
15016 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
15016 is composite. Its prime factorisation is
- 3
The divisors add up to 28170; without 15016 itself that is 13154, so 15016 is deficient (13154 is less than 15016). Euler's totient φ(15016) = 7504 numbers up to 15016 share no factor with it.
- 4
The digits of 15016 add up to 13, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 27 steps to reach 1.
LaTeX source of the formulas on this page
\[ 15016 = 2^{3} \times 1877 \]15016 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 28170 |
| Euler totient φ(n) | 7504 |
| Square | 225480256 |
| Cube | 3385811524096 |
| Square root | 122.539789 (= 2√3754) |
| Digit sum / digital root | 13 / 4 |
| Collatz steps to 1 | 27 |
| Scientific notation | 1.5016 × |
15016 in other forms
| Form | Value |
|---|---|
| In words | fifteen thousand and sixteen |
| Binary (base 2) | 11101010101000 |
| Octal (base 8) | 35250 |
| Hexadecimal (base 16) | 3AA8 |
| Base 3 | 202121011 |
| As time | 15016 seconds = 4 h 10 min 16 s |
Is 15016 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (15016 ÷ 2 = 7508) | 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 (15016 ÷ 4 = 3754) | 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 | No (remainder 4) | 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 | Yes (15016 ÷ 8 = 1877) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 4) | 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 1) | 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 15016 a prime number?
No. 15016 = × 1877, so it is divisible by 2.
What are the factors of 15016?
1, 2, 4, 8, 1877, 3754, 7508, 15016.
What is 15016 in binary?
11101010101000 (hexadecimal 3AA8, octal 35250).
What is the square root of 15016?
About 122.5398, exactly 2√3754.
Is 15016 divisible by 3?
No. Its digits add up to 13, which is not a multiple of 3.
What is special about the number 15016?
It is a composite number with 8 divisors.