The number 2438
2438 is a composite number with 8 divisors. Its prime factorisation is 2 × 23 × 53. Divisors (8): 1, 2, 23, 46, 53, 106, 1219, 2438.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
2438 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
2438 is composite. Its prime factorisation is
- 3
The divisors add up to 3888; without 2438 itself that is 1450, so 2438 is deficient (1450 is less than 2438). Euler's totient φ(2438) = 1144 numbers up to 2438 share no factor with it.
- 4
The digits of 2438 add up to 17, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 133 steps to reach 1.
LaTeX source of the formulas on this page
\[ 2438 = 2 \times 23 \times 53 \]
2438 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 3888 |
| Euler totient φ(n) | 1144 |
| Square | 5943844 |
| Cube | 14491091672 |
| Square root | 49.376108 |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 133 |
| Scientific notation | 2.438 × |
2438 in other forms
| Form | Value |
|---|---|
| In words | two thousand four hundred and thirty-eight |
| Roman numerals | MMCDXXXVIII |
| Binary (base 2) | 100110000110 |
| Octal (base 8) | 4606 |
| Hexadecimal (base 16) | 986 |
| Base 3 | 10100022 |
| As time | 2438 seconds = 40 min 38 s |
Is 2438 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (2438 ÷ 2 = 1219) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 2) | 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 | No (remainder 3) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 2) | 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 6) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 8) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 8) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 7) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 2) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 2438 a prime number?
No. 2438 = 2 × 23 × 53, so it is divisible by 2.
What are the factors of 2438?
1, 2, 23, 46, 53, 106, 1219, 2438.
What is 2438 in binary?
100110000110 (hexadecimal 986, octal 4606).
What is the square root of 2438?
About 49.3761.
What is 2438 in Roman numerals?
MMCDXXXVIII.
Is 2438 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 2438?
It is a composite number with 8 divisors.