The number 20484
20484 is a composite number with 18 divisors. Its prime factorisation is × × 569. Divisors (18): 1, 2, 3, 4, 6, 9, 12, 18, 36, 569, 1138, 1707, 2276, 3414, 5121, 6828 … 20484.
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How to work it out
- 1
What is special about 20484: a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 18.
- 2
20484 is composite. Its prime factorisation is
- 3
The divisors add up to 51870; without 20484 itself that is 31386, so 20484 is abundant (31386 is more than 20484). Euler's totient φ(20484) = 6816 numbers up to 20484 share no factor with it.
- 4
The digits of 20484 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 43 steps to reach 1.
LaTeX source of the formulas on this page
\[ 20484 = 2^{2} \times 3^{2} \times 569 \]20484 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 18 |
| Sum of divisors | 51870 |
| Euler totient φ(n) | 6816 |
| Square | 419594256 |
| Cube | 8594968739904 |
| Square root | 143.122325 (= 6√569) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 43 |
| Scientific notation | 2.0484 × |
20484 in other forms
| Form | Value |
|---|---|
| In words | twenty thousand four hundred and eighty-four |
| Binary (base 2) | 101000000000100 |
| Octal (base 8) | 50004 |
| Hexadecimal (base 16) | 5004 |
| Base 3 | 1001002200 |
| As time | 20484 seconds = 5 h 41 min 24 s |
Is 20484 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (20484 ÷ 2 = 10242) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (20484 ÷ 3 = 6828) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (20484 ÷ 4 = 5121) | 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 | Yes (20484 ÷ 6 = 3414) | 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 | Yes (20484 ÷ 9 = 2276) | 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 2) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (20484 ÷ 12 = 1707) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 20484 a prime number?
No. 20484 = × × 569, so it is divisible by 2.
What are the factors of 20484?
1, 2, 3, 4, 6, 9, 12, 18, 36, 569, 1138, 1707, 2276, 3414, 5121, 6828, 10242, 20484.
What is 20484 in binary?
101000000000100 (hexadecimal 5004, octal 50004).
What is the square root of 20484?
About 143.1223, exactly 6√569.
Is 20484 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 20484?
20484 is a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 18.