The number 60037
60037 is the 6061st prime number. Its only divisors are 1 and 60037.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 60037: the 6061st prime number; a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
60037 is prime, so its only factors are 1 and 60037. It is the 6061st prime; the next prime is 60041 and the one before is 60029.
- 3
The divisors add up to 60038; without 60037 itself that is 1, so 60037 is deficient (1 is less than 60037). Euler's totient φ(60037) = 60036 numbers up to 60037 share no factor with it.
- 4
The digits of 60037 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 117 steps to reach 1.
60037 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 60038 |
| Euler totient φ(n) | 60036 |
| Square | 3604441369 |
| Cube | 216399846470653 |
| Square root | 245.024489 |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 117 |
| Scientific notation | 6.0037 × |
60037 in other forms
| Form | Value |
|---|---|
| In words | sixty thousand and thirty-seven |
| Binary (base 2) | 1110101010000101 |
| Octal (base 8) | 165205 |
| Hexadecimal (base 16) | EA85 |
| Base 3 | 10001100121 |
| As time | 60037 seconds = 16 h 40 min 37 s |
Is 60037 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 2) | 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 7) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 7) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 10) | 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 60037 a prime number?
Yes. 60037 is divisible only by 1 and itself.
What are the factors of 60037?
1, 60037.
What is 60037 in binary?
1110101010000101 (hexadecimal EA85, octal 165205).
What is the square root of 60037?
About 245.0245.
Is 60037 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 60037?
60037 is the 6061st prime number; a happy number: repeatedly adding the squares of its digits reaches 1.