The number 2430
2430 is a composite number with 24 divisors. Its prime factorisation is 2 × × 5. Divisors (24): 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 81, 90, 135 … 2430.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 2430: a Harshad number: divisible by its digit sum 9.
- 2
2430 is composite. Its prime factorisation is
- 3
The divisors add up to 6552; without 2430 itself that is 4122, so 2430 is abundant (4122 is more than 2430). Euler's totient φ(2430) = 648 numbers up to 2430 share no factor with it.
- 4
The digits of 2430 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 164 steps to reach 1.
LaTeX source of the formulas on this page
\[ 2430 = 2 \times 3^{5} \times 5 \]2430 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 6552 |
| Euler totient φ(n) | 648 |
| Square | 5904900 |
| Cube | 14348907000 |
| Square root | 49.295030 (= 9√30) |
| Digit sum / digital root | 9 / 9 |
| Collatz steps to 1 | 164 |
| Scientific notation | 2.43 × |
2430 in other forms
| Form | Value |
|---|---|
| In words | two thousand four hundred and thirty |
| Roman numerals | MMCDXXX |
| Binary (base 2) | 100101111110 |
| Octal (base 8) | 4576 |
| Hexadecimal (base 16) | 97E |
| Base 3 | 10100000 |
| As time | 2430 seconds = 40 min 30 s |
Is 2430 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (2430 ÷ 2 = 1215) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (2430 ÷ 3 = 810) | 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 (2430 ÷ 5 = 486) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (2430 ÷ 6 = 405) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 1) | 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 6) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (2430 ÷ 9 = 270) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (2430 ÷ 10 = 243) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 10) | 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 2430 a prime number?
No. 2430 = 2 × × 5, so it is divisible by 2.
What are the factors of 2430?
1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 81, 90, 135, 162, 243, 270, 405, 486, 810, 1215, 2430.
What is 2430 in binary?
100101111110 (hexadecimal 97E, octal 4576).
What is the square root of 2430?
About 49.2950, exactly 9√30.
What is 2430 in Roman numerals?
MMCDXXX.
Is 2430 divisible by 3?
Yes. Its digits add up to 9, a multiple of 3.
What is special about the number 2430?
2430 is a Harshad number: divisible by its digit sum 9.