The number 20713
20713 is a composite number with 8 divisors. Its prime factorisation is 7 × 11 × 269. Divisors (8): 1, 7, 11, 77, 269, 1883, 2959, 20713.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
20713 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
20713 is composite. Its prime factorisation is
- 3
The divisors add up to 25920; without 20713 itself that is 5207, so 20713 is deficient (5207 is less than 20713). Euler's totient φ(20713) = 16080 numbers up to 20713 share no factor with it.
- 4
The digits of 20713 add up to 13, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 118 steps to reach 1.
LaTeX source of the formulas on this page
\[ 20713 = 7 \times 11 \times 269 \]
20713 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 25920 |
| Euler totient φ(n) | 16080 |
| Square | 429028369 |
| Cube | 8886464607097 |
| Square root | 143.920117 |
| Digit sum / digital root | 13 / 4 |
| Collatz steps to 1 | 118 |
| Scientific notation | 2.0713 × |
20713 in other forms
| Form | Value |
|---|---|
| In words | twenty thousand seven hundred and thirteen |
| Binary (base 2) | 101000011101001 |
| Octal (base 8) | 50351 |
| Hexadecimal (base 16) | 50E9 |
| Base 3 | 1001102011 |
| As time | 20713 seconds = 5 h 45 min 13 s |
Is 20713 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 | Yes (20713 ÷ 7 = 2959) | 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 4) | 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 | Yes (20713 ÷ 11 = 1883) | 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 20713 a prime number?
No. 20713 = 7 × 11 × 269, so it is divisible by 7.
What are the factors of 20713?
1, 7, 11, 77, 269, 1883, 2959, 20713.
What is 20713 in binary?
101000011101001 (hexadecimal 50E9, octal 50351).
What is the square root of 20713?
About 143.9201.
Is 20713 divisible by 3?
No. Its digits add up to 13, which is not a multiple of 3.
What is special about the number 20713?
It is a composite number with 8 divisors.