The number 73723
73723 is a composite number with 8 divisors. Its prime factorisation is 13 × 53 × 107. Divisors (8): 1, 13, 53, 107, 689, 1391, 5671, 73723.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
73723 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
73723 is composite. Its prime factorisation is
- 3
The divisors add up to 81648; without 73723 itself that is 7925, so 73723 is deficient (7925 is less than 73723). Euler's totient φ(73723) = 66144 numbers up to 73723 share no factor with it.
- 4
The digits of 73723 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
\[ 73723 = 13 \times 53 \times 107 \]
73723 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 81648 |
| Euler totient φ(n) | 66144 |
| Square | 5435080729 |
| Cube | 400690456584067 |
| Square root | 271.519797 |
| Digit sum / digital root | 22 / 4 |
| Collatz steps to 1 | 156 |
| Scientific notation | 7.3723 × |
73723 in other forms
| Form | Value |
|---|---|
| In words | seventy-three thousand seven hundred and twenty-three |
| Binary (base 2) | 10001111111111011 |
| Octal (base 8) | 217773 |
| Hexadecimal (base 16) | 11FFB |
| Base 3 | 10202010111 |
| As time | 73723 seconds = 20 h 28 min 43 s |
Is 73723 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 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 1) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 6) | 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 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 1) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 7) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 73723 a prime number?
No. 73723 = 13 × 53 × 107, so it is divisible by 13.
What are the factors of 73723?
1, 13, 53, 107, 689, 1391, 5671, 73723.
What is 73723 in binary?
10001111111111011 (hexadecimal 11FFB, octal 217773).
What is the square root of 73723?
About 271.5198.
Is 73723 divisible by 3?
No. Its digits add up to 22, which is not a multiple of 3.
What is special about the number 73723?
It is a composite number with 8 divisors.