The number 20488
20488 is a composite number with 16 divisors. Its prime factorisation is × 13 × 197. Divisors (16): 1, 2, 4, 8, 13, 26, 52, 104, 197, 394, 788, 1576, 2561, 5122, 10244, 20488.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
20488 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
20488 is composite. Its prime factorisation is
- 3
The divisors add up to 41580; without 20488 itself that is 21092, so 20488 is abundant (21092 is more than 20488). Euler's totient φ(20488) = 9408 numbers up to 20488 share no factor with it.
- 4
The digits of 20488 add up to 22, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 149 steps to reach 1.
LaTeX source of the formulas on this page
\[ 20488 = 2^{3} \times 13 \times 197 \]20488 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 41580 |
| Euler totient φ(n) | 9408 |
| Square | 419758144 |
| Cube | 8600004854272 |
| Square root | 143.136299 (= 2√5122) |
| Digit sum / digital root | 22 / 4 |
| Collatz steps to 1 | 149 |
| Scientific notation | 2.0488 × |
20488 in other forms
| Form | Value |
|---|---|
| In words | twenty thousand four hundred and eighty-eight |
| Binary (base 2) | 101000000001000 |
| Octal (base 8) | 50010 |
| Hexadecimal (base 16) | 5008 |
| Base 3 | 1001002211 |
| As time | 20488 seconds = 5 h 41 min 28 s |
Is 20488 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (20488 ÷ 2 = 10244) | 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 (20488 ÷ 4 = 5122) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 3) | 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 6) | 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 (20488 ÷ 8 = 2561) | 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 8) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 6) | 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 20488 a prime number?
No. 20488 = × 13 × 197, so it is divisible by 2.
What are the factors of 20488?
1, 2, 4, 8, 13, 26, 52, 104, 197, 394, 788, 1576, 2561, 5122, 10244, 20488.
What is 20488 in binary?
101000000001000 (hexadecimal 5008, octal 50010).
What is the square root of 20488?
About 143.1363, exactly 2√5122.
Is 20488 divisible by 3?
No. Its digits add up to 22, which is not a multiple of 3.
What is special about the number 20488?
It is a composite number with 16 divisors.