The number 15000
15000 is a composite number with 40 divisors. Its prime factorisation is × 3 × . Divisors (40): 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50 … 15000.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 15000: a Harshad number: divisible by its digit sum 6.
- 2
15000 is composite. Its prime factorisation is
- 3
The divisors add up to 46860; without 15000 itself that is 31860, so 15000 is abundant (31860 is more than 15000). Euler's totient φ(15000) = 4000 numbers up to 15000 share no factor with it.
- 4
The digits of 15000 add up to 6, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 177 steps to reach 1.
LaTeX source of the formulas on this page
\[ 15000 = 2^{3} \times 3 \times 5^{4} \]15000 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 40 |
| Sum of divisors | 46860 |
| Euler totient φ(n) | 4000 |
| Square | 225000000 |
| Cube | 3375000000000 |
| Square root | 122.474487 (= 50√6) |
| Digit sum / digital root | 6 / 6 |
| Collatz steps to 1 | 177 |
| Scientific notation | 1.5 × |
15000 in other forms
| Form | Value |
|---|---|
| In words | fifteen thousand |
| Binary (base 2) | 11101010011000 |
| Octal (base 8) | 35230 |
| Hexadecimal (base 16) | 3A98 |
| Base 3 | 202120120 |
| As time | 15000 seconds = 4 h 10 min 0 s |
Is 15000 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (15000 ÷ 2 = 7500) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (15000 ÷ 3 = 5000) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (15000 ÷ 4 = 3750) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (15000 ÷ 5 = 3000) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (15000 ÷ 6 = 2500) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 6) | 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 (15000 ÷ 8 = 1875) | 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 | Yes (15000 ÷ 10 = 1500) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 7) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (15000 ÷ 12 = 1250) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 15000 a prime number?
No. 15000 = × 3 × , so it is divisible by 2.
What are the factors of 15000?
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 125, 150, 200, 250, 300, 375, 500, 600, 625, 750, 1000, 1250, 1500, 1875, 2500, 3000, 3750, 5000, 7500, 15000.
What is 15000 in binary?
11101010011000 (hexadecimal 3A98, octal 35230).
What is the square root of 15000?
About 122.4745, exactly 50√6.
Is 15000 divisible by 3?
Yes. Its digits add up to 6, a multiple of 3.
What is special about the number 15000?
15000 is a Harshad number: divisible by its digit sum 6.