The number 60091
60091 is a twin prime (60089 and 60091 are both prime) and the 6066th prime number. Its only divisors are 1 and 60091.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 60091: a twin prime (60089 and 60091 are both prime); the 6066th prime number.
- 2
60091 is prime, so its only factors are 1 and 60091. It is the 6066th prime; the next prime is 60101 and the one before is 60089.
- 3
The divisors add up to 60092; without 60091 itself that is 1, so 60091 is deficient (1 is less than 60091). Euler's totient φ(60091) = 60090 numbers up to 60091 share no factor with it.
- 4
The digits of 60091 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 91 steps to reach 1.
60091 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 60092 |
| Euler totient φ(n) | 60090 |
| Square | 3610928281 |
| Cube | 216984291333571 |
| Square root | 245.134657 |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 91 |
| Scientific notation | 6.0091 × |
60091 in other forms
| Form | Value |
|---|---|
| In words | sixty thousand and ninety-one |
| Binary (base 2) | 1110101010111011 |
| Octal (base 8) | 165273 |
| Hexadecimal (base 16) | EABB |
| Base 3 | 10001102121 |
| As time | 60091 seconds = 16 h 41 min 31 s |
Is 60091 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 1) | 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 3) | 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 1) | 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 7) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 60091 a prime number?
Yes. 60091 is divisible only by 1 and itself.
What are the factors of 60091?
1, 60091.
What is 60091 in binary?
1110101010111011 (hexadecimal EABB, octal 165273).
What is the square root of 60091?
About 245.1347.
Is 60091 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 60091?
60091 is a twin prime (60089 and 60091 are both prime); the 6066th prime number.