The number 2508
2508 is a composite number with 24 divisors. Its prime factorisation is × 3 × 11 × 19. Divisors (24): 1, 2, 3, 4, 6, 11, 12, 19, 22, 33, 38, 44, 57, 66, 76, 114 … 2508.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
2508 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
2508 is composite. Its prime factorisation is
- 3
The divisors add up to 6720; without 2508 itself that is 4212, so 2508 is abundant (4212 is more than 2508). Euler's totient φ(2508) = 720 numbers up to 2508 share no factor with it.
- 4
The digits of 2508 add up to 15, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 133 steps to reach 1.
LaTeX source of the formulas on this page
\[ 2508 = 2^{2} \times 3 \times 11 \times 19 \]2508 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 6720 |
| Euler totient φ(n) | 720 |
| Square | 6290064 |
| Cube | 15775480512 |
| Square root | 50.079936 (= 2√627) |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 133 |
| Scientific notation | 2.508 × |
2508 in other forms
| Form | Value |
|---|---|
| In words | two thousand five hundred and eight |
| Roman numerals | MMDVIII |
| Binary (base 2) | 100111001100 |
| Octal (base 8) | 4714 |
| Hexadecimal (base 16) | 9CC |
| Base 3 | 10102220 |
| As time | 2508 seconds = 41 min 48 s |
Is 2508 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (2508 ÷ 2 = 1254) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (2508 ÷ 3 = 836) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (2508 ÷ 4 = 627) | 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 | Yes (2508 ÷ 6 = 418) | 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 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 6) | 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 | Yes (2508 ÷ 11 = 228) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (2508 ÷ 12 = 209) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 2508 a prime number?
No. 2508 = × 3 × 11 × 19, so it is divisible by 2.
What are the factors of 2508?
1, 2, 3, 4, 6, 11, 12, 19, 22, 33, 38, 44, 57, 66, 76, 114, 132, 209, 228, 418, 627, 836, 1254, 2508.
What is 2508 in binary?
100111001100 (hexadecimal 9CC, octal 4714).
What is the square root of 2508?
About 50.0799, exactly 2√627.
What is 2508 in Roman numerals?
MMDVIII.
Is 2508 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 2508?
It is a composite number with 24 divisors.