The number 20703
20703 is a composite number with 8 divisors. Its prime factorisation is 3 × 67 × 103. Divisors (8): 1, 3, 67, 103, 201, 309, 6901, 20703.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
20703 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
20703 is composite. Its prime factorisation is
- 3
The divisors add up to 28288; without 20703 itself that is 7585, so 20703 is deficient (7585 is less than 20703). Euler's totient φ(20703) = 13464 numbers up to 20703 share no factor with it.
- 4
The digits of 20703 add up to 12, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 118 steps to reach 1.
LaTeX source of the formulas on this page
\[ 20703 = 3 \times 67 \times 103 \]
20703 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 28288 |
| Euler totient φ(n) | 13464 |
| Square | 428614209 |
| Cube | 8873599968927 |
| Square root | 143.885371 |
| Digit sum / digital root | 12 / 3 |
| Collatz steps to 1 | 118 |
| Scientific notation | 2.0703 × |
20703 in other forms
| Form | Value |
|---|---|
| In words | twenty thousand seven hundred and three |
| Binary (base 2) | 101000011011111 |
| Octal (base 8) | 50337 |
| Hexadecimal (base 16) | 50DF |
| Base 3 | 1001101210 |
| As time | 20703 seconds = 5 h 45 min 3 s |
Is 20703 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 (20703 ÷ 3 = 6901) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 3) | 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 4) | 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 7) | 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 1) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 3) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 20703 a prime number?
No. 20703 = 3 × 67 × 103, so it is divisible by 3.
What are the factors of 20703?
1, 3, 67, 103, 201, 309, 6901, 20703.
What is 20703 in binary?
101000011011111 (hexadecimal 50DF, octal 50337).
What is the square root of 20703?
About 143.8854.
Is 20703 divisible by 3?
Yes. Its digits add up to 12, a multiple of 3.
What is special about the number 20703?
It is a composite number with 8 divisors.