The number 48437
48437 is the 4982nd prime number. Its only divisors are 1 and 48437.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 48437: the 4982nd prime number.
- 2
48437 is prime, so its only factors are 1 and 48437. It is the 4982nd prime; the next prime is 48449 and the one before is 48413.
- 3
The divisors add up to 48438; without 48437 itself that is 1, so 48437 is deficient (1 is less than 48437). Euler's totient φ(48437) = 48436 numbers up to 48437 share no factor with it.
- 4
The digits of 48437 add up to 26, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 70 steps to reach 1.
48437 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 48438 |
| Euler totient φ(n) | 48436 |
| Square | 2346142969 |
| Cube | 113640126989453 |
| Square root | 220.084075 |
| Digit sum / digital root | 26 / 8 |
| Collatz steps to 1 | 70 |
| Scientific notation | 4.8437 × |
48437 in other forms
| Form | Value |
|---|---|
| In words | forty-eight thousand four hundred and thirty-seven |
| Binary (base 2) | 1011110100110101 |
| Octal (base 8) | 136465 |
| Hexadecimal (base 16) | BD35 |
| Base 3 | 2110102222 |
| As time | 48437 seconds = 13 h 27 min 17 s |
Is 48437 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 4) | 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 4) | 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 48437 a prime number?
Yes. 48437 is divisible only by 1 and itself.
What are the factors of 48437?
1, 48437.
What is 48437 in binary?
1011110100110101 (hexadecimal BD35, octal 136465).
What is the square root of 48437?
About 220.0841.
Is 48437 divisible by 3?
No. Its digits add up to 26, which is not a multiple of 3.
What is special about the number 48437?
48437 is the 4982nd prime number.