The number 47401
47401 is a composite number with 4 divisors. Its prime factorisation is 107 × 443. Divisors (4): 1, 107, 443, 47401.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 47401: a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 107 × 443, the product of two primes.
- 2
47401 is composite. Its prime factorisation is
- 3
The divisors add up to 47952; without 47401 itself that is 551, so 47401 is deficient (551 is less than 47401). Euler's totient φ(47401) = 46852 numbers up to 47401 share no factor with it.
- 4
The digits of 47401 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 75 steps to reach 1.
LaTeX source of the formulas on this page
\[ 47401 = 107 \times 443 \]
47401 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 47952 |
| Euler totient φ(n) | 46852 |
| Square | 2246854801 |
| Cube | 106503164422201 |
| Square root | 217.717707 |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 75 |
| Scientific notation | 4.7401 × |
47401 in other forms
| Form | Value |
|---|---|
| In words | forty-seven thousand four hundred and one |
| Binary (base 2) | 1011100100101001 |
| Octal (base 8) | 134451 |
| Hexadecimal (base 16) | B929 |
| Base 3 | 2102000121 |
| As time | 47401 seconds = 13 h 10 min 1 s |
Is 47401 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 | No (remainder 1) | 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 1) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 4) | 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 1) | 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 | No (remainder 1) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 2) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 1) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 47401 a prime number?
No. 47401 = 107 × 443, so it is divisible by 107.
What are the factors of 47401?
1, 107, 443, 47401.
What is 47401 in binary?
1011100100101001 (hexadecimal B929, octal 134451).
What is the square root of 47401?
About 217.7177.
Is 47401 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 47401?
47401 is a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 107 × 443, the product of two primes.