The number 47901
47901 is a composite number with 8 divisors. Its prime factorisation is 3 × 7 × 2281. Divisors (8): 1, 3, 7, 21, 2281, 6843, 15967, 47901.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 47901: a Harshad number: divisible by its digit sum 21.
- 2
47901 is composite. Its prime factorisation is
- 3
The divisors add up to 73024; without 47901 itself that is 25123, so 47901 is deficient (25123 is less than 47901). Euler's totient φ(47901) = 27360 numbers up to 47901 share no factor with it.
- 4
The digits of 47901 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 52 steps to reach 1.
LaTeX source of the formulas on this page
\[ 47901 = 3 \times 7 \times 2281 \]
47901 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 73024 |
| Euler totient φ(n) | 27360 |
| Square | 2294505801 |
| Cube | 109909122373701 |
| Square root | 218.862971 |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 52 |
| Scientific notation | 4.7901 × |
47901 in other forms
| Form | Value |
|---|---|
| In words | forty-seven thousand nine hundred and one |
| Binary (base 2) | 1011101100011101 |
| Octal (base 8) | 135435 |
| Hexadecimal (base 16) | BB1D |
| Base 3 | 2102201010 |
| As time | 47901 seconds = 13 h 18 min 21 s |
Is 47901 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (47901 ÷ 3 = 15967) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 1) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 1) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 3) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (47901 ÷ 7 = 6843) | 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 5) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 3) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 1) | 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 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 47901 a prime number?
No. 47901 = 3 × 7 × 2281, so it is divisible by 3.
What are the factors of 47901?
1, 3, 7, 21, 2281, 6843, 15967, 47901.
What is 47901 in binary?
1011101100011101 (hexadecimal BB1D, octal 135435).
What is the square root of 47901?
About 218.8630.
Is 47901 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 47901?
47901 is a Harshad number: divisible by its digit sum 21.