The number 37123
37123 is the 3935th prime number. Its only divisors are 1 and 37123.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 37123: the 3935th prime number.
- 2
37123 is prime, so its only factors are 1 and 37123. It is the 3935th prime; the next prime is 37139 and the one before is 37117.
- 3
The divisors add up to 37124; without 37123 itself that is 1, so 37123 is deficient (1 is less than 37123). Euler's totient φ(37123) = 37122 numbers up to 37123 share no factor with it.
- 4
The digits of 37123 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 111 steps to reach 1.
37123 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 37124 |
| Euler totient φ(n) | 37122 |
| Square | 1378117129 |
| Cube | 51159842179867 |
| Square root | 192.673299 |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 111 |
| Scientific notation | 3.7123 × |
37123 in other forms
| Form | Value |
|---|---|
| In words | thirty-seven thousand one hundred and twenty-three |
| Binary (base 2) | 1001000100000011 |
| Octal (base 8) | 110403 |
| Hexadecimal (base 16) | 9103 |
| Base 3 | 1212220221 |
| As time | 37123 seconds = 10 h 18 min 43 s |
Is 37123 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 3) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 3) | 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 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 3) | 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 3) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 9) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 7) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 37123 a prime number?
Yes. 37123 is divisible only by 1 and itself.
What are the factors of 37123?
1, 37123.
What is 37123 in binary?
1001000100000011 (hexadecimal 9103, octal 110403).
What is the square root of 37123?
About 192.6733.
Is 37123 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 37123?
37123 is the 3935th prime number.