The number 37489
37489 is the 3967th prime number. Its only divisors are 1 and 37489.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 37489: the 3967th prime number; a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
37489 is prime, so its only factors are 1 and 37489. It is the 3967th prime; the next prime is 37493 and the one before is 37483.
- 3
The divisors add up to 37490; without 37489 itself that is 1, so 37489 is deficient (1 is less than 37489). Euler's totient φ(37489) = 37488 numbers up to 37489 share no factor with it.
- 4
The digits of 37489 add up to 31, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 62 steps to reach 1.
37489 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 37490 |
| Euler totient φ(n) | 37488 |
| Square | 1405425121 |
| Cube | 52687982361169 |
| Square root | 193.620763 |
| Digit sum / digital root | 31 / 4 |
| Collatz steps to 1 | 62 |
| Scientific notation | 3.7489 × |
37489 in other forms
| Form | Value |
|---|---|
| In words | thirty-seven thousand four hundred and eighty-nine |
| Binary (base 2) | 1001001001110001 |
| Octal (base 8) | 111161 |
| Hexadecimal (base 16) | 9271 |
| Base 3 | 1220102111 |
| As time | 37489 seconds = 10 h 24 min 49 s |
Is 37489 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 4) | 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 4) | 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 1) | 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 37489 a prime number?
Yes. 37489 is divisible only by 1 and itself.
What are the factors of 37489?
1, 37489.
What is 37489 in binary?
1001001001110001 (hexadecimal 9271, octal 111161).
What is the square root of 37489?
About 193.6208.
Is 37489 divisible by 3?
No. Its digits add up to 31, which is not a multiple of 3.
What is special about the number 37489?
37489 is the 3967th prime number; a happy number: repeatedly adding the squares of its digits reaches 1.