The number 2504
2504 is a composite number with 8 divisors. Its prime factorisation is × 313. Divisors (8): 1, 2, 4, 8, 313, 626, 1252, 2504.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
2504 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
2504 is composite. Its prime factorisation is
- 3
The divisors add up to 4710; without 2504 itself that is 2206, so 2504 is deficient (2206 is less than 2504). Euler's totient φ(2504) = 1248 numbers up to 2504 share no factor with it.
- 4
The digits of 2504 add up to 11, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 133 steps to reach 1.
LaTeX source of the formulas on this page
\[ 2504 = 2^{3} \times 313 \]2504 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 4710 |
| Euler totient φ(n) | 1248 |
| Square | 6270016 |
| Cube | 15700120064 |
| Square root | 50.039984 (= 2√626) |
| Digit sum / digital root | 11 / 2 |
| Collatz steps to 1 | 133 |
| Scientific notation | 2.504 × |
2504 in other forms
| Form | Value |
|---|---|
| In words | two thousand five hundred and four |
| Roman numerals | MMDIV |
| Binary (base 2) | 100111001000 |
| Octal (base 8) | 4710 |
| Hexadecimal (base 16) | 9C8 |
| Base 3 | 10102202 |
| As time | 2504 seconds = 41 min 44 s |
Is 2504 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (2504 ÷ 2 = 1252) | 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 (2504 ÷ 4 = 626) | 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 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 5) | 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 (2504 ÷ 8 = 313) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 2) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 4) | 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 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 2504 a prime number?
No. 2504 = × 313, so it is divisible by 2.
What are the factors of 2504?
1, 2, 4, 8, 313, 626, 1252, 2504.
What is 2504 in binary?
100111001000 (hexadecimal 9C8, octal 4710).
What is the square root of 2504?
About 50.0400, exactly 2√626.
What is 2504 in Roman numerals?
MMDIV.
Is 2504 divisible by 3?
No. Its digits add up to 11, which is not a multiple of 3.
What is special about the number 2504?
It is a composite number with 8 divisors.