The number 1500
1500 is a composite number with 24 divisors. Its prime factorisation is × 3 × . Divisors (24): 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100 … 1500.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 1500: a Harshad number: divisible by its digit sum 6.
- 2
1500 is composite. Its prime factorisation is
- 3
The divisors add up to 4368; without 1500 itself that is 2868, so 1500 is abundant (2868 is more than 1500). Euler's totient φ(1500) = 400 numbers up to 1500 share no factor with it.
- 4
The digits of 1500 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 47 steps to reach 1.
LaTeX source of the formulas on this page
\[ 1500 = 2^{2} \times 3 \times 5^{3} \]1500 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 4368 |
| Euler totient φ(n) | 400 |
| Square | 2250000 |
| Cube | 3375000000 |
| Square root | 38.729833 (= 10√15) |
| Digit sum / digital root | 6 / 6 |
| Collatz steps to 1 | 47 |
| Scientific notation | 1.5 × |
1500 in other forms
| Form | Value |
|---|---|
| In words | one thousand five hundred |
| Roman numerals | MD |
| Binary (base 2) | 10111011100 |
| Octal (base 8) | 2734 |
| Hexadecimal (base 16) | 5DC |
| Base 3 | 2001120 |
| As time | 1500 seconds = 25 min 0 s |
Is 1500 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (1500 ÷ 2 = 750) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (1500 ÷ 3 = 500) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (1500 ÷ 4 = 375) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (1500 ÷ 5 = 300) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (1500 ÷ 6 = 250) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 2) | 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 6) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (1500 ÷ 10 = 150) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 4) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (1500 ÷ 12 = 125) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 1500 a prime number?
No. 1500 = × 3 × , so it is divisible by 2.
What are the factors of 1500?
1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 125, 150, 250, 300, 375, 500, 750, 1500.
What is 1500 in binary?
10111011100 (hexadecimal 5DC, octal 2734).
What is the square root of 1500?
About 38.7298, exactly 10√15.
What is 1500 in Roman numerals?
MD.
Is 1500 divisible by 3?
Yes. Its digits add up to 6, a multiple of 3.
What is special about the number 1500?
1500 is a Harshad number: divisible by its digit sum 6.