The number 15018
15018 is a composite number with 8 divisors. Its prime factorisation is 2 × 3 × 2503. Divisors (8): 1, 2, 3, 6, 2503, 5006, 7509, 15018.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 15018: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
15018 is composite. Its prime factorisation is
- 3
The divisors add up to 30048; without 15018 itself that is 15030, so 15018 is abundant (15030 is more than 15018). Euler's totient φ(15018) = 5004 numbers up to 15018 share no factor with it.
- 4
The digits of 15018 add up to 15, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 27 steps to reach 1.
LaTeX source of the formulas on this page
\[ 15018 = 2 \times 3 \times 2503 \]
15018 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 30048 |
| Euler totient φ(n) | 5004 |
| Square | 225540324 |
| Cube | 3387164585832 |
| Square root | 122.547950 |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 27 |
| Scientific notation | 1.5018 × |
15018 in other forms
| Form | Value |
|---|---|
| In words | fifteen thousand and eighteen |
| Binary (base 2) | 11101010101010 |
| Octal (base 8) | 35252 |
| Hexadecimal (base 16) | 3AAA |
| Base 3 | 202121020 |
| As time | 15018 seconds = 4 h 10 min 18 s |
Is 15018 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (15018 ÷ 2 = 7509) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (15018 ÷ 3 = 5006) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 2) | 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 | Yes (15018 ÷ 6 = 2503) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 3) | 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 2) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 6) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 8) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 3) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 15018 a prime number?
No. 15018 = 2 × 3 × 2503, so it is divisible by 2.
What are the factors of 15018?
1, 2, 3, 6, 2503, 5006, 7509, 15018.
What is 15018 in binary?
11101010101010 (hexadecimal 3AAA, octal 35252).
What is the square root of 15018?
About 122.5479.
Is 15018 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 15018?
15018 is a happy number: repeatedly adding the squares of its digits reaches 1.