The number 71437
71437 is the 7076th prime number. Its only divisors are 1 and 71437.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 71437: the 7076th prime number.
- 2
71437 is prime, so its only factors are 1 and 71437. It is the 7076th prime; the next prime is 71443 and the one before is 71429.
- 3
The divisors add up to 71438; without 71437 itself that is 1, so 71437 is deficient (1 is less than 71437). Euler's totient φ(71437) = 71436 numbers up to 71437 share no factor with it.
- 4
The digits of 71437 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 99 steps to reach 1.
71437 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 71438 |
| Euler totient φ(n) | 71436 |
| Square | 5103244969 |
| Cube | 364560510850453 |
| Square root | 267.277010 |
| Digit sum / digital root | 22 / 4 |
| Collatz steps to 1 | 99 |
| Scientific notation | 7.1437 × |
71437 in other forms
| Form | Value |
|---|---|
| In words | seventy-one thousand four hundred and thirty-seven |
| Binary (base 2) | 10001011100001101 |
| Octal (base 8) | 213415 |
| Hexadecimal (base 16) | 1170D |
| Base 3 | 10121222211 |
| As time | 71437 seconds = 19 h 50 min 37 s |
Is 71437 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 2) | 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 2) | 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 4) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 7) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 3) | 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 71437 a prime number?
Yes. 71437 is divisible only by 1 and itself.
What are the factors of 71437?
1, 71437.
What is 71437 in binary?
10001011100001101 (hexadecimal 1170D, octal 213415).
What is the square root of 71437?
About 267.2770.
Is 71437 divisible by 3?
No. Its digits add up to 22, which is not a multiple of 3.
What is special about the number 71437?
71437 is the 7076th prime number.