The number 37423
37423 is the 3962nd prime number. Its only divisors are 1 and 37423.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 37423: the 3962nd prime number.
- 2
37423 is prime, so its only factors are 1 and 37423. It is the 3962nd prime; the next prime is 37441 and the one before is 37409.
- 3
The divisors add up to 37424; without 37423 itself that is 1, so 37423 is deficient (1 is less than 37423). Euler's totient φ(37423) = 37422 numbers up to 37423 share no factor with it.
- 4
The digits of 37423 add up to 19, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 111 steps to reach 1.
37423 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 37424 |
| Euler totient φ(n) | 37422 |
| Square | 1400480929 |
| Cube | 52410197805967 |
| Square root | 193.450252 |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 111 |
| Scientific notation | 3.7423 × |
37423 in other forms
| Form | Value |
|---|---|
| In words | thirty-seven thousand four hundred and twenty-three |
| Binary (base 2) | 1001001000101111 |
| Octal (base 8) | 111057 |
| Hexadecimal (base 16) | 922F |
| Base 3 | 1220100001 |
| As time | 37423 seconds = 10 h 23 min 43 s |
Is 37423 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 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 7) | 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 3) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 1) | 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 37423 a prime number?
Yes. 37423 is divisible only by 1 and itself.
What are the factors of 37423?
1, 37423.
What is 37423 in binary?
1001001000101111 (hexadecimal 922F, octal 111057).
What is the square root of 37423?
About 193.4503.
Is 37423 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 37423?
37423 is the 3962nd prime number.