The number 20504
20504 is a composite number with 16 divisors. Its prime factorisation is × 11 × 233. Divisors (16): 1, 2, 4, 8, 11, 22, 44, 88, 233, 466, 932, 1864, 2563, 5126, 10252, 20504.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 20504: a Harshad number: divisible by its digit sum 11.
- 2
20504 is composite. Its prime factorisation is
- 3
The divisors add up to 42120; without 20504 itself that is 21616, so 20504 is abundant (21616 is more than 20504). Euler's totient φ(20504) = 9280 numbers up to 20504 share no factor with it.
- 4
The digits of 20504 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 56 steps to reach 1.
LaTeX source of the formulas on this page
\[ 20504 = 2^{3} \times 11 \times 233 \]20504 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 42120 |
| Euler totient φ(n) | 9280 |
| Square | 420414016 |
| Cube | 8620168984064 |
| Square root | 143.192179 (= 2√5126) |
| Digit sum / digital root | 11 / 2 |
| Collatz steps to 1 | 56 |
| Scientific notation | 2.0504 × |
20504 in other forms
| Form | Value |
|---|---|
| In words | twenty thousand five hundred and four |
| Binary (base 2) | 101000000011000 |
| Octal (base 8) | 50030 |
| Hexadecimal (base 16) | 5018 |
| Base 3 | 1001010102 |
| As time | 20504 seconds = 5 h 41 min 44 s |
Is 20504 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (20504 ÷ 2 = 10252) | 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 (20504 ÷ 4 = 5126) | 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 1) | 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 (20504 ÷ 8 = 2563) | 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 | Yes (20504 ÷ 11 = 1864) | 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 20504 a prime number?
No. 20504 = × 11 × 233, so it is divisible by 2.
What are the factors of 20504?
1, 2, 4, 8, 11, 22, 44, 88, 233, 466, 932, 1864, 2563, 5126, 10252, 20504.
What is 20504 in binary?
101000000011000 (hexadecimal 5018, octal 50030).
What is the square root of 20504?
About 143.1922, exactly 2√5126.
Is 20504 divisible by 3?
No. Its digits add up to 11, which is not a multiple of 3.
What is special about the number 20504?
20504 is a Harshad number: divisible by its digit sum 11.