The number 10504
10504 is a composite number with 16 divisors. Its prime factorisation is × 13 × 101. Divisors (16): 1, 2, 4, 8, 13, 26, 52, 101, 104, 202, 404, 808, 1313, 2626, 5252, 10504.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
10504 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
10504 is composite. Its prime factorisation is
- 3
The divisors add up to 21420; without 10504 itself that is 10916, so 10504 is abundant (10916 is more than 10504). Euler's totient φ(10504) = 4800 numbers up to 10504 share no factor with it.
- 4
The digits of 10504 add up to 10, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 29 steps to reach 1.
LaTeX source of the formulas on this page
\[ 10504 = 2^{3} \times 13 \times 101 \]10504 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 21420 |
| Euler totient φ(n) | 4800 |
| Square | 110334016 |
| Cube | 1158948504064 |
| Square root | 102.489024 (= 2√2626) |
| Digit sum / digital root | 10 / 1 |
| Collatz steps to 1 | 29 |
| Scientific notation | 1.0504 × |
10504 in other forms
| Form | Value |
|---|---|
| In words | ten thousand five hundred and four |
| Binary (base 2) | 10100100001000 |
| Octal (base 8) | 24410 |
| Hexadecimal (base 16) | 2908 |
| Base 3 | 112102001 |
| As time | 10504 seconds = 2 h 55 min 4 s |
Is 10504 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (10504 ÷ 2 = 5252) | 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 (10504 ÷ 4 = 2626) | 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 4) | 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 (10504 ÷ 8 = 1313) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 1) | 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 10) | 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 10504 a prime number?
No. 10504 = × 13 × 101, so it is divisible by 2.
What are the factors of 10504?
1, 2, 4, 8, 13, 26, 52, 101, 104, 202, 404, 808, 1313, 2626, 5252, 10504.
What is 10504 in binary?
10100100001000 (hexadecimal 2908, octal 24410).
What is the square root of 10504?
About 102.4890, exactly 2√2626.
Is 10504 divisible by 3?
No. Its digits add up to 10, which is not a multiple of 3.
What is special about the number 10504?
It is a composite number with 16 divisors.