The number 56744
56744 is a composite number with 16 divisors. Its prime factorisation is × 41 × 173. Divisors (16): 1, 2, 4, 8, 41, 82, 164, 173, 328, 346, 692, 1384, 7093, 14186, 28372, 56744.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
56744 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
56744 is composite. Its prime factorisation is
- 3
The divisors add up to 109620; without 56744 itself that is 52876, so 56744 is deficient (52876 is less than 56744). Euler's totient φ(56744) = 27520 numbers up to 56744 share no factor with it.
- 4
The digits of 56744 add up to 26, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 60 steps to reach 1.
LaTeX source of the formulas on this page
\[ 56744 = 2^{3} \times 41 \times 173 \]56744 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 109620 |
| Euler totient φ(n) | 27520 |
| Square | 3219881536 |
| Cube | 182708957878784 |
| Square root | 238.209991 (= 2√14186) |
| Digit sum / digital root | 26 / 8 |
| Collatz steps to 1 | 60 |
| Scientific notation | 5.6744 × |
56744 in other forms
| Form | Value |
|---|---|
| In words | fifty-six thousand seven hundred and forty-four |
| Binary (base 2) | 1101110110101000 |
| Octal (base 8) | 156650 |
| Hexadecimal (base 16) | DDA8 |
| Base 3 | 2212211122 |
| As time | 56744 seconds = 15 h 45 min 44 s |
Is 56744 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (56744 ÷ 2 = 28372) | 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 (56744 ÷ 4 = 14186) | 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 2) | 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 (56744 ÷ 8 = 7093) | 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 6) | 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 56744 a prime number?
No. 56744 = × 41 × 173, so it is divisible by 2.
What are the factors of 56744?
1, 2, 4, 8, 41, 82, 164, 173, 328, 346, 692, 1384, 7093, 14186, 28372, 56744.
What is 56744 in binary?
1101110110101000 (hexadecimal DDA8, octal 156650).
What is the square root of 56744?
About 238.2100, exactly 2√14186.
Is 56744 divisible by 3?
No. Its digits add up to 26, which is not a multiple of 3.
What is special about the number 56744?
It is a composite number with 16 divisors.