The number 47723
47723 is a composite number with 4 divisors. Its prime factorisation is 13 × 3671. Divisors (4): 1, 13, 3671, 47723.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 47723: a semiprime: 13 × 3671, the product of two primes.
- 2
47723 is composite. Its prime factorisation is
- 3
The divisors add up to 51408; without 47723 itself that is 3685, so 47723 is deficient (3685 is less than 47723). Euler's totient φ(47723) = 44040 numbers up to 47723 share no factor with it.
- 4
The digits of 47723 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
\[ 47723 = 13 \times 3671 \]
47723 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 51408 |
| Euler totient φ(n) | 44040 |
| Square | 2277484729 |
| Cube | 108688403722067 |
| Square root | 218.455945 |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 52 |
| Scientific notation | 4.7723 × |
47723 in other forms
| Form | Value |
|---|---|
| In words | forty-seven thousand seven hundred and twenty-three |
| Binary (base 2) | 1011101001101011 |
| Octal (base 8) | 135153 |
| Hexadecimal (base 16) | BA6B |
| Base 3 | 2102110112 |
| As time | 47723 seconds = 13 h 15 min 23 s |
Is 47723 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 3) | 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 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 3) | 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 5) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 11) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 47723 a prime number?
No. 47723 = 13 × 3671, so it is divisible by 13.
What are the factors of 47723?
1, 13, 3671, 47723.
What is 47723 in binary?
1011101001101011 (hexadecimal BA6B, octal 135153).
What is the square root of 47723?
About 218.4559.
Is 47723 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 47723?
47723 is a semiprime: 13 × 3671, the product of two primes.