The number 47106
47106 is a composite number with 12 divisors. Its prime factorisation is 2 × × 2617. Divisors (12): 1, 2, 3, 6, 9, 18, 2617, 5234, 7851, 15702, 23553, 47106.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 47106: a Harshad number: divisible by its digit sum 18.
- 2
47106 is composite. Its prime factorisation is
- 3
The divisors add up to 102102; without 47106 itself that is 54996, so 47106 is abundant (54996 is more than 47106). Euler's totient φ(47106) = 15696 numbers up to 47106 share no factor with it.
- 4
The digits of 47106 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 83 steps to reach 1.
LaTeX source of the formulas on this page
\[ 47106 = 2 \times 3^{2} \times 2617 \]47106 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 102102 |
| Euler totient φ(n) | 15696 |
| Square | 2218975236 |
| Cube | 104527047467016 |
| Square root | 217.039167 (= 3√5234) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 83 |
| Scientific notation | 4.7106 × |
47106 in other forms
| Form | Value |
|---|---|
| In words | forty-seven thousand one hundred and six |
| Binary (base 2) | 1011100000000010 |
| Octal (base 8) | 134002 |
| Hexadecimal (base 16) | B802 |
| Base 3 | 2101121200 |
| As time | 47106 seconds = 13 h 5 min 6 s |
Is 47106 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (47106 ÷ 2 = 23553) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (47106 ÷ 3 = 15702) | 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 | Yes (47106 ÷ 6 = 7851) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 3) | 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 | Yes (47106 ÷ 9 = 5234) | 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 4) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 47106 a prime number?
No. 47106 = 2 × × 2617, so it is divisible by 2.
What are the factors of 47106?
1, 2, 3, 6, 9, 18, 2617, 5234, 7851, 15702, 23553, 47106.
What is 47106 in binary?
1011100000000010 (hexadecimal B802, octal 134002).
What is the square root of 47106?
About 217.0392, exactly 3√5234.
Is 47106 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 47106?
47106 is a Harshad number: divisible by its digit sum 18.