The number 20744
20744 is a composite number with 8 divisors. Its prime factorisation is × 2593. Divisors (8): 1, 2, 4, 8, 2593, 5186, 10372, 20744.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
20744 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
20744 is composite. Its prime factorisation is
- 3
The divisors add up to 38910; without 20744 itself that is 18166, so 20744 is deficient (18166 is less than 20744). Euler's totient φ(20744) = 10368 numbers up to 20744 share no factor with it.
- 4
The digits of 20744 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 43 steps to reach 1.
LaTeX source of the formulas on this page
\[ 20744 = 2^{3} \times 2593 \]20744 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 38910 |
| Euler totient φ(n) | 10368 |
| Square | 430313536 |
| Cube | 8926423990784 |
| Square root | 144.027775 (= 2√5186) |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 43 |
| Scientific notation | 2.0744 × |
20744 in other forms
| Form | Value |
|---|---|
| In words | twenty thousand seven hundred and forty-four |
| Binary (base 2) | 101000100001000 |
| Octal (base 8) | 50410 |
| Hexadecimal (base 16) | 5108 |
| Base 3 | 1001110022 |
| As time | 20744 seconds = 5 h 45 min 44 s |
Is 20744 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (20744 ÷ 2 = 10372) | 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 (20744 ÷ 4 = 5186) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 4) | 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 3) | 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 (20744 ÷ 8 = 2593) | 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 4) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 9) | 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 20744 a prime number?
No. 20744 = × 2593, so it is divisible by 2.
What are the factors of 20744?
1, 2, 4, 8, 2593, 5186, 10372, 20744.
What is 20744 in binary?
101000100001000 (hexadecimal 5108, octal 50410).
What is the square root of 20744?
About 144.0278, exactly 2√5186.
Is 20744 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 20744?
It is a composite number with 8 divisors.