The number 60761
60761 is a twin prime (60761 and 60763 are both prime) and the 6125th prime number. Its only divisors are 1 and 60761.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 60761: a twin prime (60761 and 60763 are both prime); the 6125th prime number.
- 2
60761 is prime, so its only factors are 1 and 60761. It is the 6125th prime; the next prime is 60763 and the one before is 60757.
- 3
The divisors add up to 60762; without 60761 itself that is 1, so 60761 is deficient (1 is less than 60761). Euler's totient φ(60761) = 60760 numbers up to 60761 share no factor with it.
- 4
The digits of 60761 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 73 steps to reach 1.
60761 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 60762 |
| Euler totient φ(n) | 60760 |
| Square | 3691899121 |
| Cube | 224323482491081 |
| Square root | 246.497464 |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 73 |
| Scientific notation | 6.0761 × |
60761 in other forms
| Form | Value |
|---|---|
| In words | sixty thousand seven hundred and sixty-one |
| Binary (base 2) | 1110110101011001 |
| Octal (base 8) | 166531 |
| Hexadecimal (base 16) | ED59 |
| Base 3 | 10002100102 |
| As time | 60761 seconds = 16 h 52 min 41 s |
Is 60761 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 1) | 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 2) | 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 8) | 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 60761 a prime number?
Yes. 60761 is divisible only by 1 and itself.
What are the factors of 60761?
1, 60761.
What is 60761 in binary?
1110110101011001 (hexadecimal ED59, octal 166531).
What is the square root of 60761?
About 246.4975.
Is 60761 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 60761?
60761 is a twin prime (60761 and 60763 are both prime); the 6125th prime number.