The number 47172
47172 is a composite number with 12 divisors. Its prime factorisation is × 3 × 3931. Divisors (12): 1, 2, 3, 4, 6, 12, 3931, 7862, 11793, 15724, 23586, 47172.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
47172 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
47172 is composite. Its prime factorisation is
- 3
The divisors add up to 110096; without 47172 itself that is 62924, so 47172 is abundant (62924 is more than 47172). Euler's totient φ(47172) = 15720 numbers up to 47172 share no factor with it.
- 4
The digits of 47172 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 101 steps to reach 1.
LaTeX source of the formulas on this page
\[ 47172 = 2^{2} \times 3 \times 3931 \]47172 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 110096 |
| Euler totient φ(n) | 15720 |
| Square | 2225197584 |
| Cube | 104967020432448 |
| Square root | 217.191160 (= 2√11793) |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 101 |
| Scientific notation | 4.7172 × |
47172 in other forms
| Form | Value |
|---|---|
| In words | forty-seven thousand one hundred and seventy-two |
| Binary (base 2) | 1011100001000100 |
| Octal (base 8) | 134104 |
| Hexadecimal (base 16) | B844 |
| Base 3 | 2101201010 |
| As time | 47172 seconds = 13 h 6 min 12 s |
Is 47172 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (47172 ÷ 2 = 23586) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (47172 ÷ 3 = 15724) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (47172 ÷ 4 = 11793) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 2) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (47172 ÷ 6 = 7862) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 6) | 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 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 3) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 2) | 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 | Yes (47172 ÷ 12 = 3931) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 47172 a prime number?
No. 47172 = × 3 × 3931, so it is divisible by 2.
What are the factors of 47172?
1, 2, 3, 4, 6, 12, 3931, 7862, 11793, 15724, 23586, 47172.
What is 47172 in binary?
1011100001000100 (hexadecimal B844, octal 134104).
What is the square root of 47172?
About 217.1912, exactly 2√11793.
Is 47172 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 47172?
It is a composite number with 12 divisors.