The number 37019
37019 is a twin prime (37019 and 37021 are both prime) and the 3926th prime number. Its only divisors are 1 and 37019.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 37019: a twin prime (37019 and 37021 are both prime); the 3926th prime number.
- 2
37019 is prime, so its only factors are 1 and 37019. It is the 3926th prime; the next prime is 37021 and the one before is 37013.
- 3
The divisors add up to 37020; without 37019 itself that is 1, so 37019 is deficient (1 is less than 37019). Euler's totient φ(37019) = 37018 numbers up to 37019 share no factor with it.
- 4
The digits of 37019 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 186 steps to reach 1.
37019 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 37020 |
| Euler totient φ(n) | 37018 |
| Square | 1370406361 |
| Cube | 50731073077859 |
| Square root | 192.403222 |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 186 |
| Scientific notation | 3.7019 × |
37019 in other forms
| Form | Value |
|---|---|
| In words | thirty-seven thousand and nineteen |
| Binary (base 2) | 1001000010011011 |
| Octal (base 8) | 110233 |
| Hexadecimal (base 16) | 909B |
| Base 3 | 1212210002 |
| As time | 37019 seconds = 10 h 16 min 59 s |
Is 37019 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 3) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 4) | 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 3) | 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 2) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 9) | 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 11) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 37019 a prime number?
Yes. 37019 is divisible only by 1 and itself.
What are the factors of 37019?
1, 37019.
What is 37019 in binary?
1001000010011011 (hexadecimal 909B, octal 110233).
What is the square root of 37019?
About 192.4032.
Is 37019 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 37019?
37019 is a twin prime (37019 and 37021 are both prime); the 3926th prime number.