The number 37369
37369 is the 3958th prime number. Its only divisors are 1 and 37369.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 37369: the 3958th prime number.
- 2
37369 is prime, so its only factors are 1 and 37369. It is the 3958th prime; the next prime is 37379 and the one before is 37363.
- 3
The divisors add up to 37370; without 37369 itself that is 1, so 37369 is deficient (1 is less than 37369). Euler's totient φ(37369) = 37368 numbers up to 37369 share no factor with it.
- 4
The digits of 37369 add up to 28, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 62 steps to reach 1.
37369 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 37370 |
| Euler totient φ(n) | 37368 |
| Square | 1396442161 |
| Cube | 52183647114409 |
| Square root | 193.310631 |
| Digit sum / digital root | 28 / 1 |
| Collatz steps to 1 | 62 |
| Scientific notation | 3.7369 × |
37369 in other forms
| Form | Value |
|---|---|
| In words | thirty-seven thousand three hundred and sixty-nine |
| Binary (base 2) | 1001000111111001 |
| Octal (base 8) | 110771 |
| Hexadecimal (base 16) | 91F9 |
| Base 3 | 1220021001 |
| As time | 37369 seconds = 10 h 22 min 49 s |
Is 37369 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 4) | 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 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 1) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 1) | 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 2) | 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 37369 a prime number?
Yes. 37369 is divisible only by 1 and itself.
What are the factors of 37369?
1, 37369.
What is 37369 in binary?
1001000111111001 (hexadecimal 91F9, octal 110771).
What is the square root of 37369?
About 193.3106.
Is 37369 divisible by 3?
No. Its digits add up to 28, which is not a multiple of 3.
What is special about the number 37369?
37369 is the 3958th prime number.