The number 15744
15744 is a composite number with 32 divisors. Its prime factorisation is × 3 × 41. Divisors (32): 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 41, 48, 64, 82, 96, 123 … 15744.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
15744 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
15744 is composite. Its prime factorisation is
- 3
The divisors add up to 42840; without 15744 itself that is 27096, so 15744 is abundant (27096 is more than 15744). Euler's totient φ(15744) = 5120 numbers up to 15744 share no factor with it.
- 4
The digits of 15744 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 53 steps to reach 1.
LaTeX source of the formulas on this page
\[ 15744 = 2^{7} \times 3 \times 41 \]15744 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 42840 |
| Euler totient φ(n) | 5120 |
| Square | 247873536 |
| Cube | 3902520950784 |
| Square root | 125.475097 (= 8√246) |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 53 |
| Scientific notation | 1.5744 × |
15744 in other forms
| Form | Value |
|---|---|
| In words | fifteen thousand seven hundred and forty-four |
| Binary (base 2) | 11110110000000 |
| Octal (base 8) | 36600 |
| Hexadecimal (base 16) | 3D80 |
| Base 3 | 210121010 |
| As time | 15744 seconds = 4 h 22 min 24 s |
Is 15744 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (15744 ÷ 2 = 7872) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (15744 ÷ 3 = 5248) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (15744 ÷ 4 = 3936) | 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 | Yes (15744 ÷ 6 = 2624) | 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 (15744 ÷ 8 = 1968) | 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 4) | 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 | Yes (15744 ÷ 12 = 1312) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 15744 a prime number?
No. 15744 = × 3 × 41, so it is divisible by 2.
What are the factors of 15744?
1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 41, 48, 64, 82, 96, 123, 128, 164, 192, 246, 328, 384, 492, 656, 984, 1312, 1968, 2624, 3936, 5248, 7872, 15744.
What is 15744 in binary?
11110110000000 (hexadecimal 3D80, octal 36600).
What is the square root of 15744?
About 125.4751, exactly 8√246.
Is 15744 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 15744?
It is a composite number with 32 divisors.