The number 72743
72743 is a composite number with 8 divisors. Its prime factorisation is 11 × 17 × 389. Divisors (8): 1, 11, 17, 187, 389, 4279, 6613, 72743.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
72743 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
72743 is composite. Its prime factorisation is
- 3
The divisors add up to 84240; without 72743 itself that is 11497, so 72743 is deficient (11497 is less than 72743). Euler's totient φ(72743) = 62080 numbers up to 72743 share no factor with it.
- 4
The digits of 72743 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 143 steps to reach 1.
LaTeX source of the formulas on this page
\[ 72743 = 11 \times 17 \times 389 \]
72743 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 84240 |
| Euler totient φ(n) | 62080 |
| Square | 5291544049 |
| Cube | 384922788756407 |
| Square root | 269.709103 |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 143 |
| Scientific notation | 7.2743 × |
72743 in other forms
| Form | Value |
|---|---|
| In words | seventy-two thousand seven hundred and forty-three |
| Binary (base 2) | 10001110000100111 |
| Octal (base 8) | 216047 |
| Hexadecimal (base 16) | 11C27 |
| Base 3 | 10200210012 |
| As time | 72743 seconds = 20 h 12 min 23 s |
Is 72743 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 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 7) | 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 | Yes (72743 ÷ 11 = 6613) | 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 72743 a prime number?
No. 72743 = 11 × 17 × 389, so it is divisible by 11.
What are the factors of 72743?
1, 11, 17, 187, 389, 4279, 6613, 72743.
What is 72743 in binary?
10001110000100111 (hexadecimal 11C27, octal 216047).
What is the square root of 72743?
About 269.7091.
Is 72743 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 72743?
It is a composite number with 8 divisors.