The number 1530
1530 is a composite number with 24 divisors. Its prime factorisation is 2 × × 5 × 17. Divisors (24): 1, 2, 3, 5, 6, 9, 10, 15, 17, 18, 30, 34, 45, 51, 85, 90 … 1530.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 1530: a Harshad number: divisible by its digit sum 9.
- 2
1530 is composite. Its prime factorisation is
- 3
The divisors add up to 4212; without 1530 itself that is 2682, so 1530 is abundant (2682 is more than 1530). Euler's totient φ(1530) = 384 numbers up to 1530 share no factor with it.
- 4
The digits of 1530 add up to 9, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 47 steps to reach 1.
LaTeX source of the formulas on this page
\[ 1530 = 2 \times 3^{2} \times 5 \times 17 \]1530 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 4212 |
| Euler totient φ(n) | 384 |
| Square | 2340900 |
| Cube | 3581577000 |
| Square root | 39.115214 (= 3√170) |
| Digit sum / digital root | 9 / 9 |
| Collatz steps to 1 | 47 |
| Scientific notation | 1.53 × |
1530 in other forms
| Form | Value |
|---|---|
| In words | one thousand five hundred and thirty |
| Roman numerals | MDXXX |
| Binary (base 2) | 10111111010 |
| Octal (base 8) | 2772 |
| Hexadecimal (base 16) | 5FA |
| Base 3 | 2002200 |
| As time | 1530 seconds = 25 min 30 s |
Is 1530 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (1530 ÷ 2 = 765) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (1530 ÷ 3 = 510) | 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 | Yes (1530 ÷ 5 = 306) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (1530 ÷ 6 = 255) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 4) | 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 | Yes (1530 ÷ 9 = 170) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (1530 ÷ 10 = 153) | 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 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 1530 a prime number?
No. 1530 = 2 × × 5 × 17, so it is divisible by 2.
What are the factors of 1530?
1, 2, 3, 5, 6, 9, 10, 15, 17, 18, 30, 34, 45, 51, 85, 90, 102, 153, 170, 255, 306, 510, 765, 1530.
What is 1530 in binary?
10111111010 (hexadecimal 5FA, octal 2772).
What is the square root of 1530?
About 39.1152, exactly 3√170.
What is 1530 in Roman numerals?
MDXXX.
Is 1530 divisible by 3?
Yes. Its digits add up to 9, a multiple of 3.
What is special about the number 1530?
1530 is a Harshad number: divisible by its digit sum 9.