The number 53744
53744 is a composite number with 10 divisors. Its prime factorisation is × 3359. Divisors (10): 1, 2, 4, 8, 16, 3359, 6718, 13436, 26872, 53744.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
53744 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
53744 is composite. Its prime factorisation is
- 3
The divisors add up to 104160; without 53744 itself that is 50416, so 53744 is deficient (50416 is less than 53744). Euler's totient φ(53744) = 26864 numbers up to 53744 share no factor with it.
- 4
The digits of 53744 add up to 23, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 140 steps to reach 1.
LaTeX source of the formulas on this page
\[ 53744 = 2^{4} \times 3359 \]53744 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 10 |
| Sum of divisors | 104160 |
| Euler totient φ(n) | 26864 |
| Square | 2888417536 |
| Cube | 155235112054784 |
| Square root | 231.827522 (= 4√3359) |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 140 |
| Scientific notation | 5.3744 × |
53744 in other forms
| Form | Value |
|---|---|
| In words | fifty-three thousand seven hundred and forty-four |
| Binary (base 2) | 1101000111110000 |
| Octal (base 8) | 150760 |
| Hexadecimal (base 16) | D1F0 |
| Base 3 | 2201201112 |
| As time | 53744 seconds = 14 h 55 min 44 s |
Is 53744 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (53744 ÷ 2 = 26872) | 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 (53744 ÷ 4 = 13436) | 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 5) | 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 (53744 ÷ 8 = 6718) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 5) | 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 53744 a prime number?
No. 53744 = × 3359, so it is divisible by 2.
What are the factors of 53744?
1, 2, 4, 8, 16, 3359, 6718, 13436, 26872, 53744.
What is 53744 in binary?
1101000111110000 (hexadecimal D1F0, octal 150760).
What is the square root of 53744?
About 231.8275, exactly 4√3359.
Is 53744 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 53744?
It is a composite number with 10 divisors.