The number 47900
47900 is a composite number with 18 divisors. Its prime factorisation is × × 479. Divisors (18): 1, 2, 4, 5, 10, 20, 25, 50, 100, 479, 958, 1916, 2395, 4790, 9580, 11975 … 47900.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 47900: a Harshad number: divisible by its digit sum 20.
- 2
47900 is composite. Its prime factorisation is
- 3
The divisors add up to 104160; without 47900 itself that is 56260, so 47900 is abundant (56260 is more than 47900). Euler's totient φ(47900) = 19120 numbers up to 47900 share no factor with it.
- 4
The digits of 47900 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 52 steps to reach 1.
LaTeX source of the formulas on this page
\[ 47900 = 2^{2} \times 5^{2} \times 479 \]47900 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 18 |
| Sum of divisors | 104160 |
| Euler totient φ(n) | 19120 |
| Square | 2294410000 |
| Cube | 109902239000000 |
| Square root | 218.860686 (= 10√479) |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 52 |
| Scientific notation | 4.79 × |
47900 in other forms
| Form | Value |
|---|---|
| In words | forty-seven thousand nine hundred |
| Binary (base 2) | 1011101100011100 |
| Octal (base 8) | 135434 |
| Hexadecimal (base 16) | BB1C |
| Base 3 | 2102201002 |
| As time | 47900 seconds = 13 h 18 min 20 s |
Is 47900 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (47900 ÷ 2 = 23950) | 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 (47900 ÷ 4 = 11975) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (47900 ÷ 5 = 9580) | 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 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 2) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (47900 ÷ 10 = 4790) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 6) | 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 47900 a prime number?
No. 47900 = × × 479, so it is divisible by 2.
What are the factors of 47900?
1, 2, 4, 5, 10, 20, 25, 50, 100, 479, 958, 1916, 2395, 4790, 9580, 11975, 23950, 47900.
What is 47900 in binary?
1011101100011100 (hexadecimal BB1C, octal 135434).
What is the square root of 47900?
About 218.8607, exactly 10√479.
Is 47900 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 47900?
47900 is a Harshad number: divisible by its digit sum 20.