The number 51437
51437 is a twin prime (51437 and 51439 are both prime) and the 5263rd prime number. Its only divisors are 1 and 51437.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 51437: a twin prime (51437 and 51439 are both prime); the 5263rd prime number; a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
51437 is prime, so its only factors are 1 and 51437. It is the 5263rd prime; the next prime is 51439 and the one before is 51431.
- 3
The divisors add up to 51438; without 51437 itself that is 1, so 51437 is deficient (1 is less than 51437). Euler's totient φ(51437) = 51436 numbers up to 51437 share no factor with it.
- 4
The digits of 51437 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 171 steps to reach 1.
51437 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 51438 |
| Euler totient φ(n) | 51436 |
| Square | 2645764969 |
| Cube | 136090212710453 |
| Square root | 226.797266 |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 171 |
| Scientific notation | 5.1437 × |
51437 in other forms
| Form | Value |
|---|---|
| In words | fifty-one thousand four hundred and thirty-seven |
| Binary (base 2) | 1100100011101101 |
| Octal (base 8) | 144355 |
| Hexadecimal (base 16) | C8ED |
| Base 3 | 2121120002 |
| As time | 51437 seconds = 14 h 17 min 17 s |
Is 51437 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 1) | 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 2) | 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 1) | 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 51437 a prime number?
Yes. 51437 is divisible only by 1 and itself.
What are the factors of 51437?
1, 51437.
What is 51437 in binary?
1100100011101101 (hexadecimal C8ED, octal 144355).
What is the square root of 51437?
About 226.7973.
Is 51437 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 51437?
51437 is a twin prime (51437 and 51439 are both prime); the 5263rd prime number; a happy number: repeatedly adding the squares of its digits reaches 1.