The number 73141
73141 is the 7232nd prime number. Its only divisors are 1 and 73141.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 73141: the 7232nd prime number.
- 2
73141 is prime, so its only factors are 1 and 73141. It is the 7232nd prime; the next prime is 73181 and the one before is 73133.
- 3
The divisors add up to 73142; without 73141 itself that is 1, so 73141 is deficient (1 is less than 73141). Euler's totient φ(73141) = 73140 numbers up to 73141 share no factor with it.
- 4
The digits of 73141 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 63 steps to reach 1.
73141 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 73142 |
| Euler totient φ(n) | 73140 |
| Square | 5349605881 |
| Cube | 391275523742221 |
| Square root | 270.445928 |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 63 |
| Scientific notation | 7.3141 × |
73141 in other forms
| Form | Value |
|---|---|
| In words | seventy-three thousand one hundred and forty-one |
| Binary (base 2) | 10001110110110101 |
| Octal (base 8) | 216665 |
| Hexadecimal (base 16) | 11DB5 |
| Base 3 | 10201022221 |
| As time | 73141 seconds = 20 h 19 min 1 s |
Is 73141 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 1) | 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 7) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 1) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 2) | 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 73141 a prime number?
Yes. 73141 is divisible only by 1 and itself.
What are the factors of 73141?
1, 73141.
What is 73141 in binary?
10001110110110101 (hexadecimal 11DB5, octal 216665).
What is the square root of 73141?
About 270.4459.
Is 73141 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 73141?
73141 is the 7232nd prime number.