The number 47938
47938 is a composite number with 8 divisors. Its prime factorisation is 2 × 11 × 2179. Divisors (8): 1, 2, 11, 22, 2179, 4358, 23969, 47938.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 47938: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
47938 is composite. Its prime factorisation is
- 3
The divisors add up to 78480; without 47938 itself that is 30542, so 47938 is deficient (30542 is less than 47938). Euler's totient φ(47938) = 21780 numbers up to 47938 share no factor with it.
- 4
The digits of 47938 add up to 31, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 52 steps to reach 1.
LaTeX source of the formulas on this page
\[ 47938 = 2 \times 11 \times 2179 \]
47938 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 78480 |
| Euler totient φ(n) | 21780 |
| Square | 2298051844 |
| Cube | 110164009297672 |
| Square root | 218.947482 |
| Digit sum / digital root | 31 / 4 |
| Collatz steps to 1 | 52 |
| Scientific notation | 4.7938 × |
47938 in other forms
| Form | Value |
|---|---|
| In words | forty-seven thousand nine hundred and thirty-eight |
| Binary (base 2) | 1011101101000010 |
| Octal (base 8) | 135502 |
| Hexadecimal (base 16) | BB42 |
| Base 3 | 2102202111 |
| As time | 47938 seconds = 13 h 18 min 58 s |
Is 47938 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (47938 ÷ 2 = 23969) | 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 3) | 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 | 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 | No (remainder 2) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 4) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 8) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (47938 ÷ 11 = 4358) | 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 47938 a prime number?
No. 47938 = 2 × 11 × 2179, so it is divisible by 2.
What are the factors of 47938?
1, 2, 11, 22, 2179, 4358, 23969, 47938.
What is 47938 in binary?
1011101101000010 (hexadecimal BB42, octal 135502).
What is the square root of 47938?
About 218.9475.
Is 47938 divisible by 3?
No. Its digits add up to 31, which is not a multiple of 3.
What is special about the number 47938?
47938 is a happy number: repeatedly adding the squares of its digits reaches 1.