The number 2530
2530 is a composite number with 16 divisors. Its prime factorisation is 2 × 5 × 11 × 23. Divisors (16): 1, 2, 5, 10, 11, 22, 23, 46, 55, 110, 115, 230, 253, 506, 1265, 2530.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 2530: a Harshad number: divisible by its digit sum 10.
- 2
2530 is composite. Its prime factorisation is
- 3
The divisors add up to 5184; without 2530 itself that is 2654, so 2530 is abundant (2654 is more than 2530). Euler's totient φ(2530) = 880 numbers up to 2530 share no factor with it.
- 4
The digits of 2530 add up to 10, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 40 steps to reach 1.
LaTeX source of the formulas on this page
\[ 2530 = 2 \times 5 \times 11 \times 23 \]
2530 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 5184 |
| Euler totient φ(n) | 880 |
| Square | 6400900 |
| Cube | 16194277000 |
| Square root | 50.299105 |
| Digit sum / digital root | 10 / 1 |
| Collatz steps to 1 | 40 |
| Scientific notation | 2.53 × |
2530 in other forms
| Form | Value |
|---|---|
| In words | two thousand five hundred and thirty |
| Roman numerals | MMDXXX |
| Binary (base 2) | 100111100010 |
| Octal (base 8) | 4742 |
| Hexadecimal (base 16) | 9E2 |
| Base 3 | 10110201 |
| As time | 2530 seconds = 42 min 10 s |
Is 2530 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (2530 ÷ 2 = 1265) | 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 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (2530 ÷ 5 = 506) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 4) | 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 1) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (2530 ÷ 10 = 253) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (2530 ÷ 11 = 230) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 10) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 2530 a prime number?
No. 2530 = 2 × 5 × 11 × 23, so it is divisible by 2.
What are the factors of 2530?
1, 2, 5, 10, 11, 22, 23, 46, 55, 110, 115, 230, 253, 506, 1265, 2530.
What is 2530 in binary?
100111100010 (hexadecimal 9E2, octal 4742).
What is the square root of 2530?
About 50.2991.
What is 2530 in Roman numerals?
MMDXXX.
Is 2530 divisible by 3?
No. Its digits add up to 10, which is not a multiple of 3.
What is special about the number 2530?
2530 is a Harshad number: divisible by its digit sum 10.