The number 10015
10015 is a composite number with 4 divisors. Its prime factorisation is 5 × 2003. Divisors (4): 1, 5, 2003, 10015.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 10015: a semiprime: 5 × 2003, the product of two primes.
- 2
10015 is composite. Its prime factorisation is
- 3
The divisors add up to 12024; without 10015 itself that is 2009, so 10015 is deficient (2009 is less than 10015). Euler's totient φ(10015) = 8008 numbers up to 10015 share no factor with it.
- 4
The digits of 10015 add up to 7, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 65 steps to reach 1.
LaTeX source of the formulas on this page
\[ 10015 = 5 \times 2003 \]
10015 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 12024 |
| Euler totient φ(n) | 8008 |
| Square | 100300225 |
| Cube | 1004506753375 |
| Square root | 100.074972 |
| Digit sum / digital root | 7 / 7 |
| Collatz steps to 1 | 65 |
| Scientific notation | 1.0015 × |
10015 in other forms
| Form | Value |
|---|---|
| In words | ten thousand and fifteen |
| Binary (base 2) | 10011100011111 |
| Octal (base 8) | 23437 |
| Hexadecimal (base 16) | 271F |
| Base 3 | 111201221 |
| As time | 10015 seconds = 2 h 46 min 55 s |
Is 10015 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 | No (remainder 1) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 3) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (10015 ÷ 5 = 2003) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 1) | 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 7) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 7) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 5) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 5) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 7) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 10015 a prime number?
No. 10015 = 5 × 2003, so it is divisible by 5.
What are the factors of 10015?
1, 5, 2003, 10015.
What is 10015 in binary?
10011100011111 (hexadecimal 271F, octal 23437).
What is the square root of 10015?
About 100.0750.
Is 10015 divisible by 3?
No. Its digits add up to 7, which is not a multiple of 3.
What is special about the number 10015?
10015 is a semiprime: 5 × 2003, the product of two primes.