The number 20462
20462 is a composite number with 8 divisors. Its prime factorisation is 2 × 13 × 787. Divisors (8): 1, 2, 13, 26, 787, 1574, 10231, 20462.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
20462 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
20462 is composite. Its prime factorisation is
- 3
The divisors add up to 33096; without 20462 itself that is 12634, so 20462 is deficient (12634 is less than 20462). Euler's totient φ(20462) = 9432 numbers up to 20462 share no factor with it.
- 4
The digits of 20462 add up to 14, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 61 steps to reach 1.
LaTeX source of the formulas on this page
\[ 20462 = 2 \times 13 \times 787 \]
20462 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 33096 |
| Euler totient φ(n) | 9432 |
| Square | 418693444 |
| Cube | 8567305251128 |
| Square root | 143.045447 |
| Digit sum / digital root | 14 / 5 |
| Collatz steps to 1 | 61 |
| Scientific notation | 2.0462 × |
20462 in other forms
| Form | Value |
|---|---|
| In words | twenty thousand four hundred and sixty-two |
| Binary (base 2) | 100111111101110 |
| Octal (base 8) | 47756 |
| Hexadecimal (base 16) | 4FEE |
| Base 3 | 1001001212 |
| As time | 20462 seconds = 5 h 41 min 2 s |
Is 20462 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (20462 ÷ 2 = 10231) | 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 | No (remainder 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 2) | 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 | No (remainder 6) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 5) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 2) | 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 | No (remainder 2) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 20462 a prime number?
No. 20462 = 2 × 13 × 787, so it is divisible by 2.
What are the factors of 20462?
1, 2, 13, 26, 787, 1574, 10231, 20462.
What is 20462 in binary?
100111111101110 (hexadecimal 4FEE, octal 47756).
What is the square root of 20462?
About 143.0454.
Is 20462 divisible by 3?
No. Its digits add up to 14, which is not a multiple of 3.
What is special about the number 20462?
It is a composite number with 8 divisors.