The number 77996
77996 is a composite number with 24 divisors. Its prime factorisation is × 17 × 31 × 37. Divisors (24): 1, 2, 4, 17, 31, 34, 37, 62, 68, 74, 124, 148, 527, 629, 1054, 1147 … 77996.
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How to work it out
- 1
77996 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
77996 is composite. Its prime factorisation is
- 3
The divisors add up to 153216; without 77996 itself that is 75220, so 77996 is deficient (75220 is less than 77996). Euler's totient φ(77996) = 34560 numbers up to 77996 share no factor with it.
- 4
The digits of 77996 add up to 38, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 50 steps to reach 1.
LaTeX source of the formulas on this page
\[ 77996 = 2^{2} \times 17 \times 31 \times 37 \]77996 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 153216 |
| Euler totient φ(n) | 34560 |
| Square | 6083376016 |
| Cube | 474478995743936 |
| Square root | 279.277640 (= 2√19499) |
| Digit sum / digital root | 38 / 2 |
| Collatz steps to 1 | 50 |
| Scientific notation | 7.7996 × |
77996 in other forms
| Form | Value |
|---|---|
| In words | seventy-seven thousand nine hundred and ninety-six |
| Binary (base 2) | 10011000010101100 |
| Octal (base 8) | 230254 |
| Hexadecimal (base 16) | 130AC |
| Base 3 | 10221222202 |
| As time | 77996 seconds = 21 h 39 min 56 s |
Is 77996 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (77996 ÷ 2 = 38998) | 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 (77996 ÷ 4 = 19499) | 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 | 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 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 6) | 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 77996 a prime number?
No. 77996 = × 17 × 31 × 37, so it is divisible by 2.
What are the factors of 77996?
1, 2, 4, 17, 31, 34, 37, 62, 68, 74, 124, 148, 527, 629, 1054, 1147, 1258, 2108, 2294, 2516, 4588, 19499, 38998, 77996.
What is 77996 in binary?
10011000010101100 (hexadecimal 130AC, octal 230254).
What is the square root of 77996?
About 279.2776, exactly 2√19499.
Is 77996 divisible by 3?
No. Its digits add up to 38, which is not a multiple of 3.
What is special about the number 77996?
It is a composite number with 24 divisors.