The number 76961
76961 is a twin prime (76961 and 76963 are both prime) and the 7565th prime number. Its only divisors are 1 and 76961.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 76961: a twin prime (76961 and 76963 are both prime); the 7565th prime number; a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
76961 is prime, so its only factors are 1 and 76961. It is the 7565th prime; the next prime is 76963 and the one before is 76949.
- 3
The divisors add up to 76962; without 76961 itself that is 1, so 76961 is deficient (1 is less than 76961). Euler's totient φ(76961) = 76960 numbers up to 76961 share no factor with it.
- 4
The digits of 76961 add up to 29, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 169 steps to reach 1.
76961 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 76962 |
| Euler totient φ(n) | 76960 |
| Square | 5922995521 |
| Cube | 455839658291681 |
| Square root | 277.418456 |
| Digit sum / digital root | 29 / 2 |
| Collatz steps to 1 | 169 |
| Scientific notation | 7.6961 × |
76961 in other forms
| Form | Value |
|---|---|
| In words | seventy-six thousand nine hundred and sixty-one |
| Binary (base 2) | 10010110010100001 |
| Octal (base 8) | 226241 |
| Hexadecimal (base 16) | 12CA1 |
| Base 3 | 10220120102 |
| As time | 76961 seconds = 21 h 22 min 41 s |
Is 76961 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 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 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 5) | 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 76961 a prime number?
Yes. 76961 is divisible only by 1 and itself.
What are the factors of 76961?
1, 76961.
What is 76961 in binary?
10010110010100001 (hexadecimal 12CA1, octal 226241).
What is the square root of 76961?
About 277.4185.
Is 76961 divisible by 3?
No. Its digits add up to 29, which is not a multiple of 3.
What is special about the number 76961?
76961 is a twin prime (76961 and 76963 are both prime); the 7565th prime number; a happy number: repeatedly adding the squares of its digits reaches 1.