The number 4504
4504 is a composite number with 8 divisors. Its prime factorisation is × 563. Divisors (8): 1, 2, 4, 8, 563, 1126, 2252, 4504.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
4504 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
4504 is composite. Its prime factorisation is
- 3
The divisors add up to 8460; without 4504 itself that is 3956, so 4504 is deficient (3956 is less than 4504). Euler's totient φ(4504) = 2248 numbers up to 4504 share no factor with it.
- 4
The digits of 4504 add up to 13, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 46 steps to reach 1.
LaTeX source of the formulas on this page
\[ 4504 = 2^{3} \times 563 \]4504 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 8460 |
| Euler totient φ(n) | 2248 |
| Square | 20286016 |
| Cube | 91368216064 |
| Square root | 67.111847 (= 2√1126) |
| Digit sum / digital root | 13 / 4 |
| Collatz steps to 1 | 46 |
| Scientific notation | 4.504 × |
4504 in other forms
| Form | Value |
|---|---|
| In words | four thousand five hundred and four |
| Binary (base 2) | 1000110011000 |
| Octal (base 8) | 10630 |
| Hexadecimal (base 16) | 1198 |
| Base 3 | 20011211 |
| As time | 4504 seconds = 1 h 15 min 4 s |
Is 4504 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (4504 ÷ 2 = 2252) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 1) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (4504 ÷ 4 = 1126) | 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 4) | 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 | Yes (4504 ÷ 8 = 563) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 4) | 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 5) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 4504 a prime number?
No. 4504 = × 563, so it is divisible by 2.
What are the factors of 4504?
1, 2, 4, 8, 563, 1126, 2252, 4504.
What is 4504 in binary?
1000110011000 (hexadecimal 1198, octal 10630).
What is the square root of 4504?
About 67.1118, exactly 2√1126.
Is 4504 divisible by 3?
No. Its digits add up to 13, which is not a multiple of 3.
What is special about the number 4504?
It is a composite number with 8 divisors.