The number 20313
20313 is a composite number with 12 divisors. Its prime factorisation is × 37 × 61. Divisors (12): 1, 3, 9, 37, 61, 111, 183, 333, 549, 2257, 6771, 20313.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 20313: a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 9.
- 2
20313 is composite. Its prime factorisation is
- 3
The divisors add up to 30628; without 20313 itself that is 10315, so 20313 is deficient (10315 is less than 20313). Euler's totient φ(20313) = 12960 numbers up to 20313 share no factor with it.
- 4
The digits of 20313 add up to 9, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 180 steps to reach 1.
LaTeX source of the formulas on this page
\[ 20313 = 3^{2} \times 37 \times 61 \]20313 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 30628 |
| Euler totient φ(n) | 12960 |
| Square | 412617969 |
| Cube | 8381508804297 |
| Square root | 142.523682 (= 3√2257) |
| Digit sum / digital root | 9 / 9 |
| Collatz steps to 1 | 180 |
| Scientific notation | 2.0313 × |
20313 in other forms
| Form | Value |
|---|---|
| In words | twenty thousand three hundred and thirteen |
| Binary (base 2) | 100111101011001 |
| Octal (base 8) | 47531 |
| Hexadecimal (base 16) | 4F59 |
| Base 3 | 1000212100 |
| As time | 20313 seconds = 5 h 38 min 33 s |
Is 20313 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 (20313 ÷ 3 = 6771) | 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 6) | 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 | Yes (20313 ÷ 9 = 2257) | 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 20313 a prime number?
No. 20313 = × 37 × 61, so it is divisible by 3.
What are the factors of 20313?
1, 3, 9, 37, 61, 111, 183, 333, 549, 2257, 6771, 20313.
What is 20313 in binary?
100111101011001 (hexadecimal 4F59, octal 47531).
What is the square root of 20313?
About 142.5237, exactly 3√2257.
Is 20313 divisible by 3?
Yes. Its digits add up to 9, a multiple of 3.
What is special about the number 20313?
20313 is a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 9.