The number 47600
47600 is a composite number with 60 divisors. Its prime factorisation is × × 7 × 17. Divisors (60): 1, 2, 4, 5, 7, 8, 10, 14, 16, 17, 20, 25, 28, 34, 35, 40 … 47600.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 47600: a Harshad number: divisible by its digit sum 17.
- 2
47600 is composite. Its prime factorisation is
- 3
The divisors add up to 138384; without 47600 itself that is 90784, so 47600 is abundant (90784 is more than 47600). Euler's totient φ(47600) = 15360 numbers up to 47600 share no factor with it.
- 4
The digits of 47600 add up to 17, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 52 steps to reach 1.
LaTeX source of the formulas on this page
\[ 47600 = 2^{4} \times 5^{2} \times 7 \times 17 \]47600 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 60 |
| Sum of divisors | 138384 |
| Euler totient φ(n) | 15360 |
| Square | 2265760000 |
| Cube | 107850176000000 |
| Square root | 218.174242 (= 20√119) |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 52 |
| Scientific notation | 4.76 × |
47600 in other forms
| Form | Value |
|---|---|
| In words | forty-seven thousand six hundred |
| Binary (base 2) | 1011100111110000 |
| Octal (base 8) | 134760 |
| Hexadecimal (base 16) | B9F0 |
| Base 3 | 2102021222 |
| As time | 47600 seconds = 13 h 13 min 20 s |
Is 47600 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (47600 ÷ 2 = 23800) | 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 (47600 ÷ 4 = 11900) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (47600 ÷ 5 = 9520) | 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 | Yes (47600 ÷ 7 = 6800) | 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 (47600 ÷ 8 = 5950) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 8) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (47600 ÷ 10 = 4760) | 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 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 47600 a prime number?
No. 47600 = × × 7 × 17, so it is divisible by 2.
What are the factors of 47600?
1, 2, 4, 5, 7, 8, 10, 14, 16, 17, 20, 25, 28, 34, 35, 40, 50, 56, 68, 70, 80, 85, 100, 112, 119, 136, 140, 170, 175, 200, 238, 272, 280, 340, 350, 400, 425, 476, 560, 595, 680, 700, 850, 952, 1190, 1360, 1400, 1700, 1904, 2380, 2800, 2975, 3400, 4760, 5950, 6800, 9520, 11900, 23800, 47600.
What is 47600 in binary?
1011100111110000 (hexadecimal B9F0, octal 134760).
What is the square root of 47600?
About 218.1742, exactly 20√119.
Is 47600 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 47600?
47600 is a Harshad number: divisible by its digit sum 17.