The number 20712
20712 is a composite number with 16 divisors. Its prime factorisation is × 3 × 863. Divisors (16): 1, 2, 3, 4, 6, 8, 12, 24, 863, 1726, 2589, 3452, 5178, 6904, 10356, 20712.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 20712: a Harshad number: divisible by its digit sum 12.
- 2
20712 is composite. Its prime factorisation is
- 3
The divisors add up to 51840; without 20712 itself that is 31128, so 20712 is abundant (31128 is more than 20712). Euler's totient φ(20712) = 6896 numbers up to 20712 share no factor with it.
- 4
The digits of 20712 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 43 steps to reach 1.
LaTeX source of the formulas on this page
\[ 20712 = 2^{3} \times 3 \times 863 \]20712 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 51840 |
| Euler totient φ(n) | 6896 |
| Square | 428986944 |
| Cube | 8885177584128 |
| Square root | 143.916643 (= 2√5178) |
| Digit sum / digital root | 12 / 3 |
| Collatz steps to 1 | 43 |
| Scientific notation | 2.0712 × |
20712 in other forms
| Form | Value |
|---|---|
| In words | twenty thousand seven hundred and twelve |
| Binary (base 2) | 101000011101000 |
| Octal (base 8) | 50350 |
| Hexadecimal (base 16) | 50E8 |
| Base 3 | 1001102010 |
| As time | 20712 seconds = 5 h 45 min 12 s |
Is 20712 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (20712 ÷ 2 = 10356) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (20712 ÷ 3 = 6904) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (20712 ÷ 4 = 5178) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 2) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (20712 ÷ 6 = 3452) | 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 | Yes (20712 ÷ 8 = 2589) | 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 2) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 10) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (20712 ÷ 12 = 1726) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 20712 a prime number?
No. 20712 = × 3 × 863, so it is divisible by 2.
What are the factors of 20712?
1, 2, 3, 4, 6, 8, 12, 24, 863, 1726, 2589, 3452, 5178, 6904, 10356, 20712.
What is 20712 in binary?
101000011101000 (hexadecimal 50E8, octal 50350).
What is the square root of 20712?
About 143.9166, exactly 2√5178.
Is 20712 divisible by 3?
Yes. Its digits add up to 12, a multiple of 3.
What is special about the number 20712?
20712 is a Harshad number: divisible by its digit sum 12.