The number 37021
37021 is a twin prime (37019 and 37021 are both prime) and the 3927th prime number. Its only divisors are 1 and 37021.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 37021: a twin prime (37019 and 37021 are both prime); the 3927th prime number.
- 2
37021 is prime, so its only factors are 1 and 37021. It is the 3927th prime; the next prime is 37039 and the one before is 37019.
- 3
The divisors add up to 37022; without 37021 itself that is 1, so 37021 is deficient (1 is less than 37021). Euler's totient φ(37021) = 37020 numbers up to 37021 share no factor with it.
- 4
The digits of 37021 add up to 13, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 155 steps to reach 1.
37021 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 37022 |
| Euler totient φ(n) | 37020 |
| Square | 1370554441 |
| Cube | 50739295960261 |
| Square root | 192.408420 |
| Digit sum / digital root | 13 / 4 |
| Collatz steps to 1 | 155 |
| Scientific notation | 3.7021 × |
37021 in other forms
| Form | Value |
|---|---|
| In words | thirty-seven thousand and twenty-one |
| Binary (base 2) | 1001000010011101 |
| Octal (base 8) | 110235 |
| Hexadecimal (base 16) | 909D |
| Base 3 | 1212210011 |
| As time | 37021 seconds = 10 h 17 min 1 s |
Is 37021 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 1) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 1) | 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 5) | 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 4) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 1) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 6) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 1) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 37021 a prime number?
Yes. 37021 is divisible only by 1 and itself.
What are the factors of 37021?
1, 37021.
What is 37021 in binary?
1001000010011101 (hexadecimal 909D, octal 110235).
What is the square root of 37021?
About 192.4084.
Is 37021 divisible by 3?
No. Its digits add up to 13, which is not a multiple of 3.
What is special about the number 37021?
37021 is a twin prime (37019 and 37021 are both prime); the 3927th prime number.