The number 72043
72043 is the 7131st prime number. Its only divisors are 1 and 72043.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 72043: the 7131st prime number.
- 2
72043 is prime, so its only factors are 1 and 72043. It is the 7131st prime; the next prime is 72047 and the one before is 72031.
- 3
The divisors add up to 72044; without 72043 itself that is 1, so 72043 is deficient (1 is less than 72043). Euler's totient φ(72043) = 72042 numbers up to 72043 share no factor with it.
- 4
The digits of 72043 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 68 steps to reach 1.
72043 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 72044 |
| Euler totient φ(n) | 72042 |
| Square | 5190193849 |
| Cube | 373917135463507 |
| Square root | 268.408271 |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 68 |
| Scientific notation | 7.2043 × |
72043 in other forms
| Form | Value |
|---|---|
| In words | seventy-two thousand and forty-three |
| Binary (base 2) | 10001100101101011 |
| Octal (base 8) | 214553 |
| Hexadecimal (base 16) | 1196B |
| Base 3 | 10122211021 |
| As time | 72043 seconds = 20 h 0 min 43 s |
Is 72043 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 7) | 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 4) | 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 72043 a prime number?
Yes. 72043 is divisible only by 1 and itself.
What are the factors of 72043?
1, 72043.
What is 72043 in binary?
10001100101101011 (hexadecimal 1196B, octal 214553).
What is the square root of 72043?
About 268.4083.
Is 72043 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 72043?
72043 is the 7131st prime number.