The number 47950
47950 is a composite number with 24 divisors. Its prime factorisation is 2 × × 7 × 137. Divisors (24): 1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 137, 175, 274, 350, 685, 959 … 47950.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 47950: a Harshad number: divisible by its digit sum 25.
- 2
47950 is composite. Its prime factorisation is
- 3
The divisors add up to 102672; without 47950 itself that is 54722, so 47950 is abundant (54722 is more than 47950). Euler's totient φ(47950) = 16320 numbers up to 47950 share no factor with it.
- 4
The digits of 47950 add up to 25, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 145 steps to reach 1.
LaTeX source of the formulas on this page
\[ 47950 = 2 \times 5^{2} \times 7 \times 137 \]47950 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 102672 |
| Euler totient φ(n) | 16320 |
| Square | 2299202500 |
| Cube | 110246759875000 |
| Square root | 218.974884 (= 5√1918) |
| Digit sum / digital root | 25 / 7 |
| Collatz steps to 1 | 145 |
| Scientific notation | 4.795 × |
47950 in other forms
| Form | Value |
|---|---|
| In words | forty-seven thousand nine hundred and fifty |
| Binary (base 2) | 1011101101001110 |
| Octal (base 8) | 135516 |
| Hexadecimal (base 16) | BB4E |
| Base 3 | 2102202221 |
| As time | 47950 seconds = 13 h 19 min 10 s |
Is 47950 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (47950 ÷ 2 = 23975) | 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 | No (remainder 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (47950 ÷ 5 = 9590) | 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 | Yes (47950 ÷ 7 = 6850) | 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 6) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 7) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (47950 ÷ 10 = 4795) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 1) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 10) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 47950 a prime number?
No. 47950 = 2 × × 7 × 137, so it is divisible by 2.
What are the factors of 47950?
1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 137, 175, 274, 350, 685, 959, 1370, 1918, 3425, 4795, 6850, 9590, 23975, 47950.
What is 47950 in binary?
1011101101001110 (hexadecimal BB4E, octal 135516).
What is the square root of 47950?
About 218.9749, exactly 5√1918.
Is 47950 divisible by 3?
No. Its digits add up to 25, which is not a multiple of 3.
What is special about the number 47950?
47950 is a Harshad number: divisible by its digit sum 25.