The number 37409
37409 is the 3961st prime number. Its only divisors are 1 and 37409.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 37409: the 3961st prime number.
- 2
37409 is prime, so its only factors are 1 and 37409. It is the 3961st prime; the next prime is 37423 and the one before is 37397.
- 3
The divisors add up to 37410; without 37409 itself that is 1, so 37409 is deficient (1 is less than 37409). Euler's totient φ(37409) = 37408 numbers up to 37409 share no factor with it.
- 4
The digits of 37409 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 111 steps to reach 1.
37409 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 37410 |
| Euler totient φ(n) | 37408 |
| Square | 1399433281 |
| Cube | 52351399608929 |
| Square root | 193.414064 |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 111 |
| Scientific notation | 3.7409 × |
37409 in other forms
| Form | Value |
|---|---|
| In words | thirty-seven thousand four hundred and nine |
| Binary (base 2) | 1001001000100001 |
| Octal (base 8) | 111041 |
| Hexadecimal (base 16) | 9221 |
| Base 3 | 1220022112 |
| As time | 37409 seconds = 10 h 23 min 29 s |
Is 37409 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 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 1) | 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 5) | 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 9) | 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 37409 a prime number?
Yes. 37409 is divisible only by 1 and itself.
What are the factors of 37409?
1, 37409.
What is 37409 in binary?
1001001000100001 (hexadecimal 9221, octal 111041).
What is the square root of 37409?
About 193.4141.
Is 37409 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 37409?
37409 is the 3961st prime number.