The number 47601
47601 is a composite number with 16 divisors. Its prime factorisation is × 41 × 43. Divisors (16): 1, 3, 9, 27, 41, 43, 123, 129, 369, 387, 1107, 1161, 1763, 5289, 15867, 47601.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
47601 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
47601 is composite. Its prime factorisation is
- 3
The divisors add up to 73920; without 47601 itself that is 26319, so 47601 is deficient (26319 is less than 47601). Euler's totient φ(47601) = 30240 numbers up to 47601 share no factor with it.
- 4
The digits of 47601 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 101 steps to reach 1.
LaTeX source of the formulas on this page
\[ 47601 = 3^{3} \times 41 \times 43 \]47601 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 73920 |
| Euler totient φ(n) | 30240 |
| Square | 2265855201 |
| Cube | 107856973422801 |
| Square root | 218.176534 (= 3√5289) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 101 |
| Scientific notation | 4.7601 × |
47601 in other forms
| Form | Value |
|---|---|
| In words | forty-seven thousand six hundred and one |
| Binary (base 2) | 1011100111110001 |
| Octal (base 8) | 134761 |
| Hexadecimal (base 16) | B9F1 |
| Base 3 | 2102022000 |
| As time | 47601 seconds = 13 h 13 min 21 s |
Is 47601 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 (47601 ÷ 3 = 15867) | 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 | No (remainder 1) | 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 1) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (47601 ÷ 9 = 5289) | 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 4) | 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 47601 a prime number?
No. 47601 = × 41 × 43, so it is divisible by 3.
What are the factors of 47601?
1, 3, 9, 27, 41, 43, 123, 129, 369, 387, 1107, 1161, 1763, 5289, 15867, 47601.
What is 47601 in binary?
1011100111110001 (hexadecimal B9F1, octal 134761).
What is the square root of 47601?
About 218.1765, exactly 3√5289.
Is 47601 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 47601?
It is a composite number with 16 divisors.