The number 2408
2408 is a composite number with 16 divisors. Its prime factorisation is × 7 × 43. Divisors (16): 1, 2, 4, 7, 8, 14, 28, 43, 56, 86, 172, 301, 344, 602, 1204, 2408.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 2408: a Harshad number: divisible by its digit sum 14.
- 2
2408 is composite. Its prime factorisation is
- 3
The divisors add up to 5280; without 2408 itself that is 2872, so 2408 is abundant (2872 is more than 2408). Euler's totient φ(2408) = 1008 numbers up to 2408 share no factor with it.
- 4
The digits of 2408 add up to 14, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 19 steps to reach 1.
LaTeX source of the formulas on this page
\[ 2408 = 2^{3} \times 7 \times 43 \]2408 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 5280 |
| Euler totient φ(n) | 1008 |
| Square | 5798464 |
| Cube | 13962701312 |
| Square root | 49.071377 (= 2√602) |
| Digit sum / digital root | 14 / 5 |
| Collatz steps to 1 | 19 |
| Scientific notation | 2.408 × |
2408 in other forms
| Form | Value |
|---|---|
| In words | two thousand four hundred and eight |
| Roman numerals | MMCDVIII |
| Binary (base 2) | 100101101000 |
| Octal (base 8) | 4550 |
| Hexadecimal (base 16) | 968 |
| Base 3 | 10022012 |
| As time | 2408 seconds = 40 min 8 s |
Is 2408 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (2408 ÷ 2 = 1204) | 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 | Yes (2408 ÷ 4 = 602) | 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 | Yes (2408 ÷ 7 = 344) | 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 | Yes (2408 ÷ 8 = 301) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 5) | 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 10) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 2408 a prime number?
No. 2408 = × 7 × 43, so it is divisible by 2.
What are the factors of 2408?
1, 2, 4, 7, 8, 14, 28, 43, 56, 86, 172, 301, 344, 602, 1204, 2408.
What is 2408 in binary?
100101101000 (hexadecimal 968, octal 4550).
What is the square root of 2408?
About 49.0714, exactly 2√602.
What is 2408 in Roman numerals?
MMCDVIII.
Is 2408 divisible by 3?
No. Its digits add up to 14, which is not a multiple of 3.
What is special about the number 2408?
2408 is a Harshad number: divisible by its digit sum 14.