The number 47813
47813 is a composite number with 4 divisors. Its prime factorisation is 137 × 349. Divisors (4): 1, 137, 349, 47813.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 47813: a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 137 × 349, the product of two primes.
- 2
47813 is composite. Its prime factorisation is
- 3
The divisors add up to 48300; without 47813 itself that is 487, so 47813 is deficient (487 is less than 47813). Euler's totient φ(47813) = 47328 numbers up to 47813 share no factor with it.
- 4
The digits of 47813 add up to 23, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 52 steps to reach 1.
LaTeX source of the formulas on this page
\[ 47813 = 137 \times 349 \]
47813 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 48300 |
| Euler totient φ(n) | 47328 |
| Square | 2286082969 |
| Cube | 109304484996797 |
| Square root | 218.661839 |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 52 |
| Scientific notation | 4.7813 × |
47813 in other forms
| Form | Value |
|---|---|
| In words | forty-seven thousand eight hundred and thirteen |
| Binary (base 2) | 1011101011000101 |
| Octal (base 8) | 135305 |
| Hexadecimal (base 16) | BAC5 |
| Base 3 | 2102120212 |
| As time | 47813 seconds = 13 h 16 min 53 s |
Is 47813 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 2) | 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 3) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 5) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 3) | 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 5) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 3) | 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 5) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 47813 a prime number?
No. 47813 = 137 × 349, so it is divisible by 137.
What are the factors of 47813?
1, 137, 349, 47813.
What is 47813 in binary?
1011101011000101 (hexadecimal BAC5, octal 135305).
What is the square root of 47813?
About 218.6618.
Is 47813 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 47813?
47813 is a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 137 × 349, the product of two primes.