The number 76967
76967 is a palindrome: it reads 76967 backwards too. Its prime factorisation is 11 × 6997. Divisors (4): 1, 11, 6997, 76967.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 76967: a palindrome: it reads 76967 backwards too; a semiprime: 11 × 6997, the product of two primes.
- 2
76967 is composite. Its prime factorisation is
- 3
The divisors add up to 83976; without 76967 itself that is 7009, so 76967 is deficient (7009 is less than 76967). Euler's totient φ(76967) = 69960 numbers up to 76967 share no factor with it.
- 4
The digits of 76967 add up to 35, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 156 steps to reach 1.
LaTeX source of the formulas on this page
\[ 76967 = 11 \times 6997 \]
76967 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 83976 |
| Euler totient φ(n) | 69960 |
| Square | 5923919089 |
| Cube | 455946280523063 |
| Square root | 277.429270 |
| Digit sum / digital root | 35 / 8 |
| Collatz steps to 1 | 156 |
| Scientific notation | 7.6967 × |
76967 in other forms
| Form | Value |
|---|---|
| In words | seventy-six thousand nine hundred and sixty-seven |
| Binary (base 2) | 10010110010100111 |
| Octal (base 8) | 226247 |
| Hexadecimal (base 16) | 12CA7 |
| Base 3 | 10220120122 |
| As time | 76967 seconds = 21 h 22 min 47 s |
Is 76967 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 3) | 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 5) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 2) | 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 7) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 8) | 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 | Yes (76967 ÷ 11 = 6997) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 11) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 76967 a prime number?
No. 76967 = 11 × 6997, so it is divisible by 11.
What are the factors of 76967?
1, 11, 6997, 76967.
What is 76967 in binary?
10010110010100111 (hexadecimal 12CA7, octal 226247).
What is the square root of 76967?
About 277.4293.
Is 76967 divisible by 3?
No. Its digits add up to 35, which is not a multiple of 3.
What is special about the number 76967?
76967 is a palindrome: it reads 76967 backwards too; a semiprime: 11 × 6997, the product of two primes.