The number 49037
49037 is the 5041st prime number. Its only divisors are 1 and 49037.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 49037: the 5041st prime number.
- 2
49037 is prime, so its only factors are 1 and 49037. It is the 5041st prime; the next prime is 49043 and the one before is 49033.
- 3
The divisors add up to 49038; without 49037 itself that is 1, so 49037 is deficient (1 is less than 49037). Euler's totient φ(49037) = 49036 numbers up to 49037 share no factor with it.
- 4
The digits of 49037 add up to 23, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 52 steps to reach 1.
49037 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 49038 |
| Euler totient φ(n) | 49036 |
| Square | 2404627369 |
| Cube | 117915712293653 |
| Square root | 221.442995 |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 52 |
| Scientific notation | 4.9037 × |
49037 in other forms
| Form | Value |
|---|---|
| In words | forty-nine thousand and thirty-seven |
| Binary (base 2) | 1011111110001101 |
| Octal (base 8) | 137615 |
| Hexadecimal (base 16) | BF8D |
| Base 3 | 2111021012 |
| As time | 49037 seconds = 13 h 37 min 17 s |
Is 49037 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 2) | 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 5) | 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 10) | 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 49037 a prime number?
Yes. 49037 is divisible only by 1 and itself.
What are the factors of 49037?
1, 49037.
What is 49037 in binary?
1011111110001101 (hexadecimal BF8D, octal 137615).
What is the square root of 49037?
About 221.4430.
Is 49037 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 49037?
49037 is the 5041st prime number.