The number 20672
20672 is a composite number with 28 divisors. Its prime factorisation is × 17 × 19. Divisors (28): 1, 2, 4, 8, 16, 17, 19, 32, 34, 38, 64, 68, 76, 136, 152, 272 … 20672.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 20672: a Harshad number: divisible by its digit sum 17.
- 2
20672 is composite. Its prime factorisation is
- 3
The divisors add up to 45720; without 20672 itself that is 25048, so 20672 is abundant (25048 is more than 20672). Euler's totient φ(20672) = 9216 numbers up to 20672 share no factor with it.
- 4
The digits of 20672 add up to 17, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 105 steps to reach 1.
LaTeX source of the formulas on this page
\[ 20672 = 2^{6} \times 17 \times 19 \]20672 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 28 |
| Sum of divisors | 45720 |
| Euler totient φ(n) | 9216 |
| Square | 427331584 |
| Cube | 8833798504448 |
| Square root | 143.777606 (= 8√323) |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 105 |
| Scientific notation | 2.0672 × |
20672 in other forms
| Form | Value |
|---|---|
| In words | twenty thousand six hundred and seventy-two |
| Binary (base 2) | 101000011000000 |
| Octal (base 8) | 50300 |
| Hexadecimal (base 16) | 50C0 |
| Base 3 | 1001100122 |
| As time | 20672 seconds = 5 h 44 min 32 s |
Is 20672 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (20672 ÷ 2 = 10336) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 2) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (20672 ÷ 4 = 5168) | 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 | No (remainder 2) | 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 | Yes (20672 ÷ 8 = 2584) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 8) | 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 3) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 20672 a prime number?
No. 20672 = × 17 × 19, so it is divisible by 2.
What are the factors of 20672?
1, 2, 4, 8, 16, 17, 19, 32, 34, 38, 64, 68, 76, 136, 152, 272, 304, 323, 544, 608, 646, 1088, 1216, 1292, 2584, 5168, 10336, 20672.
What is 20672 in binary?
101000011000000 (hexadecimal 50C0, octal 50300).
What is the square root of 20672?
About 143.7776, exactly 8√323.
Is 20672 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 20672?
20672 is a Harshad number: divisible by its digit sum 17.