The number 11437
11437 is the 1379th prime number. Its only divisors are 1 and 11437.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 11437: the 1379th prime number.
- 2
11437 is prime, so its only factors are 1 and 11437. It is the 1379th prime; the next prime is 11443 and the one before is 11423.
- 3
The divisors add up to 11438; without 11437 itself that is 1, so 11437 is deficient (1 is less than 11437). Euler's totient φ(11437) = 11436 numbers up to 11437 share no factor with it.
- 4
The digits of 11437 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 81 steps to reach 1.
11437 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 11438 |
| Euler totient φ(n) | 11436 |
| Square | 130804969 |
| Cube | 1496016430453 |
| Square root | 106.943911 |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 81 |
| Scientific notation | 1.1437 × |
11437 in other forms
| Form | Value |
|---|---|
| In words | eleven thousand four hundred and thirty-seven |
| Binary (base 2) | 10110010101101 |
| Octal (base 8) | 26255 |
| Hexadecimal (base 16) | 2CAD |
| Base 3 | 120200121 |
| As time | 11437 seconds = 3 h 10 min 37 s |
Is 11437 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 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 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 7) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 8) | 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 11437 a prime number?
Yes. 11437 is divisible only by 1 and itself.
What are the factors of 11437?
1, 11437.
What is 11437 in binary?
10110010101101 (hexadecimal 2CAD, octal 26255).
What is the square root of 11437?
About 106.9439.
Is 11437 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 11437?
11437 is the 1379th prime number.