The number 47080
47080 is a composite number with 32 divisors. Its prime factorisation is × 5 × 11 × 107. Divisors (32): 1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 107, 110, 214 … 47080.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 47080: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
47080 is composite. Its prime factorisation is
- 3
The divisors add up to 116640; without 47080 itself that is 69560, so 47080 is abundant (69560 is more than 47080). Euler's totient φ(47080) = 16960 numbers up to 47080 share no factor with it.
- 4
The digits of 47080 add up to 19, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 176 steps to reach 1.
LaTeX source of the formulas on this page
\[ 47080 = 2^{3} \times 5 \times 11 \times 107 \]47080 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 116640 |
| Euler totient φ(n) | 16960 |
| Square | 2216526400 |
| Cube | 104354062912000 |
| Square root | 216.979262 (= 2√11770) |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 176 |
| Scientific notation | 4.708 × |
47080 in other forms
| Form | Value |
|---|---|
| In words | forty-seven thousand and eighty |
| Binary (base 2) | 1011011111101000 |
| Octal (base 8) | 133750 |
| Hexadecimal (base 16) | B7E8 |
| Base 3 | 2101120201 |
| As time | 47080 seconds = 13 h 4 min 40 s |
Is 47080 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (47080 ÷ 2 = 23540) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 1) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (47080 ÷ 4 = 11770) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (47080 ÷ 5 = 9416) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 5) | 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 (47080 ÷ 8 = 5885) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 1) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (47080 ÷ 10 = 4708) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (47080 ÷ 11 = 4280) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 47080 a prime number?
No. 47080 = × 5 × 11 × 107, so it is divisible by 2.
What are the factors of 47080?
1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 107, 110, 214, 220, 428, 440, 535, 856, 1070, 1177, 2140, 2354, 4280, 4708, 5885, 9416, 11770, 23540, 47080.
What is 47080 in binary?
1011011111101000 (hexadecimal B7E8, octal 133750).
What is the square root of 47080?
About 216.9793, exactly 2√11770.
Is 47080 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 47080?
47080 is a happy number: repeatedly adding the squares of its digits reaches 1.