The number 20473
20473 is a binary palindrome (100111111111001). Its prime factorisation is 59 × 347. Divisors (4): 1, 59, 347, 20473.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 20473: a binary palindrome (100111111111001); a semiprime: 59 × 347, the product of two primes.
- 2
20473 is composite. Its prime factorisation is
- 3
The divisors add up to 20880; without 20473 itself that is 407, so 20473 is deficient (407 is less than 20473). Euler's totient φ(20473) = 20068 numbers up to 20473 share no factor with it.
- 4
The digits of 20473 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 136 steps to reach 1.
LaTeX source of the formulas on this page
\[ 20473 = 59 \times 347 \]
20473 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 20880 |
| Euler totient φ(n) | 20068 |
| Square | 419143729 |
| Cube | 8581129563817 |
| Square root | 143.083891 |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 136 |
| Scientific notation | 2.0473 × |
20473 in other forms
| Form | Value |
|---|---|
| In words | twenty thousand four hundred and seventy-three |
| Binary (base 2) | 100111111111001 |
| Octal (base 8) | 47771 |
| Hexadecimal (base 16) | 4FF9 |
| Base 3 | 1001002021 |
| As time | 20473 seconds = 5 h 41 min 13 s |
Is 20473 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | 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 | No (remainder 1) | 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 1) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 5) | 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 1) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 7) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 3) | 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 1) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 20473 a prime number?
No. 20473 = 59 × 347, so it is divisible by 59.
What are the factors of 20473?
1, 59, 347, 20473.
What is 20473 in binary?
100111111111001 (hexadecimal 4FF9, octal 47771).
What is the square root of 20473?
About 143.0839.
Is 20473 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 20473?
20473 is a binary palindrome (100111111111001); a semiprime: 59 × 347, the product of two primes.