The number 71473
71473 is a twin prime (71471 and 71473 are both prime) and the 7080th prime number. Its only divisors are 1 and 71473.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 71473: a twin prime (71471 and 71473 are both prime); the 7080th prime number.
- 2
71473 is prime, so its only factors are 1 and 71473. It is the 7080th prime; the next prime is 71479 and the one before is 71471.
- 3
The divisors add up to 71474; without 71473 itself that is 1, so 71473 is deficient (1 is less than 71473). Euler's totient φ(71473) = 71472 numbers up to 71473 share no factor with it.
- 4
The digits of 71473 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 125 steps to reach 1.
71473 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 71474 |
| Euler totient φ(n) | 71472 |
| Square | 5108389729 |
| Cube | 365111939100817 |
| Square root | 267.344347 |
| Digit sum / digital root | 22 / 4 |
| Collatz steps to 1 | 125 |
| Scientific notation | 7.1473 × |
71473 in other forms
| Form | Value |
|---|---|
| In words | seventy-one thousand four hundred and seventy-three |
| Binary (base 2) | 10001011100110001 |
| Octal (base 8) | 213461 |
| Hexadecimal (base 16) | 11731 |
| Base 3 | 10122001011 |
| As time | 71473 seconds = 19 h 51 min 13 s |
Is 71473 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 3) | 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 1) | 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 6) | 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 71473 a prime number?
Yes. 71473 is divisible only by 1 and itself.
What are the factors of 71473?
1, 71473.
What is 71473 in binary?
10001011100110001 (hexadecimal 11731, octal 213461).
What is the square root of 71473?
About 267.3443.
Is 71473 divisible by 3?
No. Its digits add up to 22, which is not a multiple of 3.
What is special about the number 71473?
71473 is a twin prime (71471 and 71473 are both prime); the 7080th prime number.