The number 12437
12437 is the 1485th prime number. Its only divisors are 1 and 12437.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 12437: the 1485th prime number; a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
12437 is prime, so its only factors are 1 and 12437. It is the 1485th prime; the next prime is 12451 and the one before is 12433.
- 3
The divisors add up to 12438; without 12437 itself that is 1, so 12437 is deficient (1 is less than 12437). Euler's totient φ(12437) = 12436 numbers up to 12437 share no factor with it.
- 4
The digits of 12437 add up to 17, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 37 steps to reach 1.
12437 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 12438 |
| Euler totient φ(n) | 12436 |
| Square | 154678969 |
| Cube | 1923742337453 |
| Square root | 111.521298 |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 37 |
| Scientific notation | 1.2437 × |
12437 in other forms
| Form | Value |
|---|---|
| In words | twelve thousand four hundred and thirty-seven |
| Binary (base 2) | 11000010010101 |
| Octal (base 8) | 30225 |
| Hexadecimal (base 16) | 3095 |
| Base 3 | 122001122 |
| As time | 12437 seconds = 3 h 27 min 17 s |
Is 12437 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 2) | 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 5) | 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 8) | 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 7) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 5) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 12437 a prime number?
Yes. 12437 is divisible only by 1 and itself.
What are the factors of 12437?
1, 12437.
What is 12437 in binary?
11000010010101 (hexadecimal 3095, octal 30225).
What is the square root of 12437?
About 111.5213.
Is 12437 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 12437?
12437 is the 1485th prime number; a happy number: repeatedly adding the squares of its digits reaches 1.