The number 76916
76916 is a composite number with 24 divisors. Its prime factorisation is × 7 × 41 × 67. Divisors (24): 1, 2, 4, 7, 14, 28, 41, 67, 82, 134, 164, 268, 287, 469, 574, 938 … 76916.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 76916: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
76916 is composite. Its prime factorisation is
- 3
The divisors add up to 159936; without 76916 itself that is 83020, so 76916 is abundant (83020 is more than 76916). Euler's totient φ(76916) = 31680 numbers up to 76916 share no factor with it.
- 4
The digits of 76916 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 125 steps to reach 1.
LaTeX source of the formulas on this page
\[ 76916 = 2^{2} \times 7 \times 41 \times 67 \]76916 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 159936 |
| Euler totient φ(n) | 31680 |
| Square | 5916071056 |
| Cube | 455040521343296 |
| Square root | 277.337340 (= 2√19229) |
| Digit sum / digital root | 29 / 2 |
| Collatz steps to 1 | 125 |
| Scientific notation | 7.6916 × |
76916 in other forms
| Form | Value |
|---|---|
| In words | seventy-six thousand nine hundred and sixteen |
| Binary (base 2) | 10010110001110100 |
| Octal (base 8) | 226164 |
| Hexadecimal (base 16) | 12C74 |
| Base 3 | 10220111202 |
| As time | 76916 seconds = 21 h 21 min 56 s |
Is 76916 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (76916 ÷ 2 = 38458) | 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 | Yes (76916 ÷ 4 = 19229) | 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 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (76916 ÷ 7 = 10988) | 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 4) | 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 6) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 4) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 76916 a prime number?
No. 76916 = × 7 × 41 × 67, so it is divisible by 2.
What are the factors of 76916?
1, 2, 4, 7, 14, 28, 41, 67, 82, 134, 164, 268, 287, 469, 574, 938, 1148, 1876, 2747, 5494, 10988, 19229, 38458, 76916.
What is 76916 in binary?
10010110001110100 (hexadecimal 12C74, octal 226164).
What is the square root of 76916?
About 277.3373, exactly 2√19229.
Is 76916 divisible by 3?
No. Its digits add up to 29, which is not a multiple of 3.
What is special about the number 76916?
76916 is a happy number: repeatedly adding the squares of its digits reaches 1.