The number 47744
47744 is a composite number with 16 divisors. Its prime factorisation is × 373. Divisors (16): 1, 2, 4, 8, 16, 32, 64, 128, 373, 746, 1492, 2984, 5968, 11936, 23872, 47744.
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How to work it out
- 1
47744 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
47744 is composite. Its prime factorisation is
- 3
The divisors add up to 95370; without 47744 itself that is 47626, so 47744 is deficient (47626 is less than 47744). Euler's totient φ(47744) = 23808 numbers up to 47744 share no factor with it.
- 4
The digits of 47744 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 26 steps to reach 1.
LaTeX source of the formulas on this page
\[ 47744 = 2^{7} \times 373 \]47744 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 95370 |
| Euler totient φ(n) | 23808 |
| Square | 2279489536 |
| Cube | 108831948406784 |
| Square root | 218.504005 (= 8√746) |
| Digit sum / digital root | 26 / 8 |
| Collatz steps to 1 | 26 |
| Scientific notation | 4.7744 × |
47744 in other forms
| Form | Value |
|---|---|
| In words | forty-seven thousand seven hundred and forty-four |
| Binary (base 2) | 1011101010000000 |
| Octal (base 8) | 135200 |
| Hexadecimal (base 16) | BA80 |
| Base 3 | 2102111022 |
| As time | 47744 seconds = 13 h 15 min 44 s |
Is 47744 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (47744 ÷ 2 = 23872) | 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 (47744 ÷ 4 = 11936) | 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 4) | 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 (47744 ÷ 8 = 5968) | 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 4) | 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 47744 a prime number?
No. 47744 = × 373, so it is divisible by 2.
What are the factors of 47744?
1, 2, 4, 8, 16, 32, 64, 128, 373, 746, 1492, 2984, 5968, 11936, 23872, 47744.
What is 47744 in binary?
1011101010000000 (hexadecimal BA80, octal 135200).
What is the square root of 47744?
About 218.5040, exactly 8√746.
Is 47744 divisible by 3?
No. Its digits add up to 26, which is not a multiple of 3.
What is special about the number 47744?
It is a composite number with 16 divisors.