The number 47160
47160 is a composite number with 48 divisors. Its prime factorisation is × × 5 × 131. Divisors (48): 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36 … 47160.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 47160: a Harshad number: divisible by its digit sum 18.
- 2
47160 is composite. Its prime factorisation is
- 3
The divisors add up to 154440; without 47160 itself that is 107280, so 47160 is abundant (107280 is more than 47160). Euler's totient φ(47160) = 12480 numbers up to 47160 share no factor with it.
- 4
The digits of 47160 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
\[ 47160 = 2^{3} \times 3^{2} \times 5 \times 131 \]47160 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 48 |
| Sum of divisors | 154440 |
| Euler totient φ(n) | 12480 |
| Square | 2224065600 |
| Cube | 104886933696000 |
| Square root | 217.163533 (= 6√1310) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 83 |
| Scientific notation | 4.716 × |
47160 in other forms
| Form | Value |
|---|---|
| In words | forty-seven thousand one hundred and sixty |
| Binary (base 2) | 1011100000111000 |
| Octal (base 8) | 134070 |
| Hexadecimal (base 16) | B838 |
| Base 3 | 2101200200 |
| As time | 47160 seconds = 13 h 6 min 0 s |
Is 47160 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (47160 ÷ 2 = 23580) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (47160 ÷ 3 = 15720) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (47160 ÷ 4 = 11790) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (47160 ÷ 5 = 9432) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (47160 ÷ 6 = 7860) | 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 | Yes (47160 ÷ 8 = 5895) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (47160 ÷ 9 = 5240) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (47160 ÷ 10 = 4716) | 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 | Yes (47160 ÷ 12 = 3930) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 47160 a prime number?
No. 47160 = × × 5 × 131, so it is divisible by 2.
What are the factors of 47160?
1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 131, 180, 262, 360, 393, 524, 655, 786, 1048, 1179, 1310, 1572, 1965, 2358, 2620, 3144, 3930, 4716, 5240, 5895, 7860, 9432, 11790, 15720, 23580, 47160.
What is 47160 in binary?
1011100000111000 (hexadecimal B838, octal 134070).
What is the square root of 47160?
About 217.1635, exactly 6√1310.
Is 47160 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 47160?
47160 is a Harshad number: divisible by its digit sum 18.