The number 47446
47446 is a composite number with 8 divisors. Its prime factorisation is 2 × 7 × 3389. Divisors (8): 1, 2, 7, 14, 3389, 6778, 23723, 47446.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 47446: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
47446 is composite. Its prime factorisation is
- 3
The divisors add up to 81360; without 47446 itself that is 33914, so 47446 is deficient (33914 is less than 47446). Euler's totient φ(47446) = 20328 numbers up to 47446 share no factor with it.
- 4
The digits of 47446 add up to 25, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 176 steps to reach 1.
LaTeX source of the formulas on this page
\[ 47446 = 2 \times 7 \times 3389 \]
47446 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 81360 |
| Euler totient φ(n) | 20328 |
| Square | 2251122916 |
| Cube | 106806777872536 |
| Square root | 217.821027 |
| Digit sum / digital root | 25 / 7 |
| Collatz steps to 1 | 176 |
| Scientific notation | 4.7446 × |
47446 in other forms
| Form | Value |
|---|---|
| In words | forty-seven thousand four hundred and forty-six |
| Binary (base 2) | 1011100101010110 |
| Octal (base 8) | 134526 |
| Hexadecimal (base 16) | B956 |
| Base 3 | 2102002021 |
| As time | 47446 seconds = 13 h 10 min 46 s |
Is 47446 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (47446 ÷ 2 = 23723) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 1) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 1) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (47446 ÷ 7 = 6778) | 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 | No (remainder 6) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 7) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 6) | 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 | No (remainder 10) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 47446 a prime number?
No. 47446 = 2 × 7 × 3389, so it is divisible by 2.
What are the factors of 47446?
1, 2, 7, 14, 3389, 6778, 23723, 47446.
What is 47446 in binary?
1011100101010110 (hexadecimal B956, octal 134526).
What is the square root of 47446?
About 217.8210.
Is 47446 divisible by 3?
No. Its digits add up to 25, which is not a multiple of 3.
What is special about the number 47446?
47446 is a happy number: repeatedly adding the squares of its digits reaches 1.