The number 20973
20973 is a composite number with 4 divisors. Its prime factorisation is 3 × 6991. Divisors (4): 1, 3, 6991, 20973.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 20973: a semiprime: 3 × 6991, the product of two primes.
- 2
20973 is composite. Its prime factorisation is
- 3
The divisors add up to 27968; without 20973 itself that is 6995, so 20973 is deficient (6995 is less than 20973). Euler's totient φ(20973) = 13980 numbers up to 20973 share no factor with it.
- 4
The digits of 20973 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 56 steps to reach 1.
LaTeX source of the formulas on this page
\[ 20973 = 3 \times 6991 \]
20973 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 27968 |
| Euler totient φ(n) | 13980 |
| Square | 439866729 |
| Cube | 9225324907317 |
| Square root | 144.820579 |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 56 |
| Scientific notation | 2.0973 × |
20973 in other forms
| Form | Value |
|---|---|
| In words | twenty thousand nine hundred and seventy-three |
| Binary (base 2) | 101000111101101 |
| Octal (base 8) | 50755 |
| Hexadecimal (base 16) | 51ED |
| Base 3 | 1001202210 |
| As time | 20973 seconds = 5 h 49 min 33 s |
Is 20973 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 | Yes (20973 ÷ 3 = 6991) | 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 3) | 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 5) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 3) | 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 7) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 20973 a prime number?
No. 20973 = 3 × 6991, so it is divisible by 3.
What are the factors of 20973?
1, 3, 6991, 20973.
What is 20973 in binary?
101000111101101 (hexadecimal 51ED, octal 50755).
What is the square root of 20973?
About 144.8206.
Is 20973 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 20973?
20973 is a semiprime: 3 × 6991, the product of two primes.