The number 2439
2439 is a composite number with 6 divisors. Its prime factorisation is × 271. Divisors (6): 1, 3, 9, 271, 813, 2439.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
2439 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
2439 is composite. Its prime factorisation is
- 3
The divisors add up to 3536; without 2439 itself that is 1097, so 2439 is deficient (1097 is less than 2439). Euler's totient φ(2439) = 1620 numbers up to 2439 share no factor with it.
- 4
The digits of 2439 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 133 steps to reach 1.
LaTeX source of the formulas on this page
\[ 2439 = 3^{2} \times 271 \]2439 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 3536 |
| Euler totient φ(n) | 1620 |
| Square | 5948721 |
| Cube | 14508930519 |
| Square root | 49.386233 (= 3√271) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 133 |
| Scientific notation | 2.439 × |
2439 in other forms
| Form | Value |
|---|---|
| In words | two thousand four hundred and thirty-nine |
| Roman numerals | MMCDXXXIX |
| Binary (base 2) | 100110000111 |
| Octal (base 8) | 4607 |
| Hexadecimal (base 16) | 987 |
| Base 3 | 10100100 |
| As time | 2439 seconds = 40 min 39 s |
Is 2439 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (2439 ÷ 3 = 813) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 3) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 4) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 3) | 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 7) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (2439 ÷ 9 = 271) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 9) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 8) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 3) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 2439 a prime number?
No. 2439 = × 271, so it is divisible by 3.
What are the factors of 2439?
1, 3, 9, 271, 813, 2439.
What is 2439 in binary?
100110000111 (hexadecimal 987, octal 4607).
What is the square root of 2439?
About 49.3862, exactly 3√271.
What is 2439 in Roman numerals?
MMCDXXXIX.
Is 2439 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 2439?
It is a composite number with 6 divisors.