The number 73813
73813 is a composite number with 4 divisors. Its prime factorisation is 223 × 331. Divisors (4): 1, 223, 331, 73813.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 73813: a semiprime: 223 × 331, the product of two primes.
- 2
73813 is composite. Its prime factorisation is
- 3
The divisors add up to 74368; without 73813 itself that is 555, so 73813 is deficient (555 is less than 73813). Euler's totient φ(73813) = 73260 numbers up to 73813 share no factor with it.
- 4
The digits of 73813 add up to 22, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 156 steps to reach 1.
LaTeX source of the formulas on this page
\[ 73813 = 223 \times 331 \]
73813 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 74368 |
| Euler totient φ(n) | 73260 |
| Square | 5448358969 |
| Cube | 402159720578797 |
| Square root | 271.685480 |
| Digit sum / digital root | 22 / 4 |
| Collatz steps to 1 | 156 |
| Scientific notation | 7.3813 × |
73813 in other forms
| Form | Value |
|---|---|
| In words | seventy-three thousand eight hundred and thirteen |
| Binary (base 2) | 10010000001010101 |
| Octal (base 8) | 220125 |
| Hexadecimal (base 16) | 12055 |
| Base 3 | 10202020211 |
| As time | 73813 seconds = 20 h 30 min 13 s |
Is 73813 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 3) | 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 5) | 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 4) | 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 3) | 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 73813 a prime number?
No. 73813 = 223 × 331, so it is divisible by 223.
What are the factors of 73813?
1, 223, 331, 73813.
What is 73813 in binary?
10010000001010101 (hexadecimal 12055, octal 220125).
What is the square root of 73813?
About 271.6855.
Is 73813 divisible by 3?
No. Its digits add up to 22, which is not a multiple of 3.
What is special about the number 73813?
73813 is a semiprime: 223 × 331, the product of two primes.