The number 5437
5437 is the 718th prime number. Its only divisors are 1 and 5437.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 5437: the 718th prime number.
- 2
5437 is prime, so its only factors are 1 and 5437. It is the 718th prime; the next prime is 5441 and the one before is 5431.
- 3
The divisors add up to 5438; without 5437 itself that is 1, so 5437 is deficient (1 is less than 5437). Euler's totient φ(5437) = 5436 numbers up to 5437 share no factor with it.
- 4
The digits of 5437 add up to 19, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 67 steps to reach 1.
5437 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 5438 |
| Euler totient φ(n) | 5436 |
| Square | 29560969 |
| Cube | 160722988453 |
| Square root | 73.736016 |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 67 |
| Scientific notation | 5.437 × |
5437 in other forms
| Form | Value |
|---|---|
| In words | five thousand four hundred and thirty-seven |
| Binary (base 2) | 1010100111101 |
| Octal (base 8) | 12475 |
| Hexadecimal (base 16) | 153D |
| Base 3 | 21110101 |
| As time | 5437 seconds = 1 h 30 min 37 s |
Is 5437 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 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 1) | 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 5437 a prime number?
Yes. 5437 is divisible only by 1 and itself.
What are the factors of 5437?
1, 5437.
What is 5437 in binary?
1010100111101 (hexadecimal 153D, octal 12475).
What is the square root of 5437?
About 73.7360.
Is 5437 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 5437?
5437 is the 718th prime number.