The number 47120
47120 is a composite number with 40 divisors. Its prime factorisation is × 5 × 19 × 31. Divisors (40): 1, 2, 4, 5, 8, 10, 16, 19, 20, 31, 38, 40, 62, 76, 80, 95 … 47120.
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How to work it out
- 1
What is special about 47120: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
47120 is composite. Its prime factorisation is
- 3
The divisors add up to 119040; without 47120 itself that is 71920, so 47120 is abundant (71920 is more than 47120). Euler's totient φ(47120) = 17280 numbers up to 47120 share no factor with it.
- 4
The digits of 47120 add up to 14, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 83 steps to reach 1.
LaTeX source of the formulas on this page
\[ 47120 = 2^{4} \times 5 \times 19 \times 31 \]47120 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 40 |
| Sum of divisors | 119040 |
| Euler totient φ(n) | 17280 |
| Square | 2220294400 |
| Cube | 104620272128000 |
| Square root | 217.071417 (= 4√2945) |
| Digit sum / digital root | 14 / 5 |
| Collatz steps to 1 | 83 |
| Scientific notation | 4.712 × |
47120 in other forms
| Form | Value |
|---|---|
| In words | forty-seven thousand one hundred and twenty |
| Binary (base 2) | 1011100000010000 |
| Octal (base 8) | 134020 |
| Hexadecimal (base 16) | B810 |
| Base 3 | 2101122012 |
| As time | 47120 seconds = 13 h 5 min 20 s |
Is 47120 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (47120 ÷ 2 = 23560) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 2) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (47120 ÷ 4 = 11780) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (47120 ÷ 5 = 9424) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 3) | 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 (47120 ÷ 8 = 5890) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 5) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (47120 ÷ 10 = 4712) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 7) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 47120 a prime number?
No. 47120 = × 5 × 19 × 31, so it is divisible by 2.
What are the factors of 47120?
1, 2, 4, 5, 8, 10, 16, 19, 20, 31, 38, 40, 62, 76, 80, 95, 124, 152, 155, 190, 248, 304, 310, 380, 496, 589, 620, 760, 1178, 1240, 1520, 2356, 2480, 2945, 4712, 5890, 9424, 11780, 23560, 47120.
What is 47120 in binary?
1011100000010000 (hexadecimal B810, octal 134020).
What is the square root of 47120?
About 217.0714, exactly 4√2945.
Is 47120 divisible by 3?
No. Its digits add up to 14, which is not a multiple of 3.
What is special about the number 47120?
47120 is a happy number: repeatedly adding the squares of its digits reaches 1.