The number 47138
47138 is a composite number with 24 divisors. Its prime factorisation is 2 × × 13 × 37. Divisors (24): 1, 2, 7, 13, 14, 26, 37, 49, 74, 91, 98, 182, 259, 481, 518, 637 … 47138.
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How to work it out
- 1
What is special about 47138: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
47138 is composite. Its prime factorisation is
- 3
The divisors add up to 90972; without 47138 itself that is 43834, so 47138 is deficient (43834 is less than 47138). Euler's totient φ(47138) = 18144 numbers up to 47138 share no factor with it.
- 4
The digits of 47138 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 83 steps to reach 1.
LaTeX source of the formulas on this page
\[ 47138 = 2 \times 7^{2} \times 13 \times 37 \]47138 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 90972 |
| Euler totient φ(n) | 18144 |
| Square | 2221991044 |
| Cube | 104740213832072 |
| Square root | 217.112874 (= 7√962) |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 83 |
| Scientific notation | 4.7138 × |
47138 in other forms
| Form | Value |
|---|---|
| In words | forty-seven thousand one hundred and thirty-eight |
| Binary (base 2) | 1011100000100010 |
| Octal (base 8) | 134042 |
| Hexadecimal (base 16) | B822 |
| Base 3 | 2101122212 |
| As time | 47138 seconds = 13 h 5 min 38 s |
Is 47138 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (47138 ÷ 2 = 23569) | 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 | 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 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (47138 ÷ 7 = 6734) | 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 5) | 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 | No (remainder 3) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 2) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 47138 a prime number?
No. 47138 = 2 × × 13 × 37, so it is divisible by 2.
What are the factors of 47138?
1, 2, 7, 13, 14, 26, 37, 49, 74, 91, 98, 182, 259, 481, 518, 637, 962, 1274, 1813, 3367, 3626, 6734, 23569, 47138.
What is 47138 in binary?
1011100000100010 (hexadecimal B822, octal 134042).
What is the square root of 47138?
About 217.1129, exactly 7√962.
Is 47138 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 47138?
47138 is a happy number: repeatedly adding the squares of its digits reaches 1.