The number 47061
47061 is a composite number with 20 divisors. Its prime factorisation is × 7 × 83. Divisors (20): 1, 3, 7, 9, 21, 27, 63, 81, 83, 189, 249, 567, 581, 747, 1743, 2241 … 47061.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
47061 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
47061 is composite. Its prime factorisation is
- 3
The divisors add up to 81312; without 47061 itself that is 34251, so 47061 is deficient (34251 is less than 47061). Euler's totient φ(47061) = 26568 numbers up to 47061 share no factor with it.
- 4
The digits of 47061 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 52 steps to reach 1.
LaTeX source of the formulas on this page
\[ 47061 = 3^{4} \times 7 \times 83 \]47061 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 20 |
| Sum of divisors | 81312 |
| Euler totient φ(n) | 26568 |
| Square | 2214737721 |
| Cube | 104227771887981 |
| Square root | 216.935474 (= 9√581) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 52 |
| Scientific notation | 4.7061 × |
47061 in other forms
| Form | Value |
|---|---|
| In words | forty-seven thousand and sixty-one |
| Binary (base 2) | 1011011111010101 |
| Octal (base 8) | 133725 |
| Hexadecimal (base 16) | B7D5 |
| Base 3 | 2101120000 |
| As time | 47061 seconds = 13 h 4 min 21 s |
Is 47061 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (47061 ÷ 3 = 15687) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 1) | 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 3) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (47061 ÷ 7 = 6723) | 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 5) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (47061 ÷ 9 = 5229) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 1) | 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 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 47061 a prime number?
No. 47061 = × 7 × 83, so it is divisible by 3.
What are the factors of 47061?
1, 3, 7, 9, 21, 27, 63, 81, 83, 189, 249, 567, 581, 747, 1743, 2241, 5229, 6723, 15687, 47061.
What is 47061 in binary?
1011011111010101 (hexadecimal B7D5, octal 133725).
What is the square root of 47061?
About 216.9355, exactly 9√581.
Is 47061 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 47061?
It is a composite number with 20 divisors.