The number 77994
77994 is a composite number with 24 divisors. Its prime factorisation is 2 × × 7 × 619. Divisors (24): 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126, 619, 1238, 1857, 3714 … 77994.
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How to work it out
- 1
77994 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
77994 is composite. Its prime factorisation is
- 3
The divisors add up to 193440; without 77994 itself that is 115446, so 77994 is abundant (115446 is more than 77994). Euler's totient φ(77994) = 22248 numbers up to 77994 share no factor with it.
- 4
The digits of 77994 add up to 36, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 138 steps to reach 1.
LaTeX source of the formulas on this page
\[ 77994 = 2 \times 3^{2} \times 7 \times 619 \]77994 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 193440 |
| Euler totient φ(n) | 22248 |
| Square | 6083064036 |
| Cube | 474442496423784 |
| Square root | 279.274059 (= 3√8666) |
| Digit sum / digital root | 36 / 9 |
| Collatz steps to 1 | 138 |
| Scientific notation | 7.7994 × |
77994 in other forms
| Form | Value |
|---|---|
| In words | seventy-seven thousand nine hundred and ninety-four |
| Binary (base 2) | 10011000010101010 |
| Octal (base 8) | 230252 |
| Hexadecimal (base 16) | 130AA |
| Base 3 | 10221222200 |
| As time | 77994 seconds = 21 h 39 min 54 s |
Is 77994 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (77994 ÷ 2 = 38997) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (77994 ÷ 3 = 25998) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 4) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (77994 ÷ 6 = 12999) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (77994 ÷ 7 = 11142) | 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 2) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (77994 ÷ 9 = 8666) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 4) | 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 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 77994 a prime number?
No. 77994 = 2 × × 7 × 619, so it is divisible by 2.
What are the factors of 77994?
1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126, 619, 1238, 1857, 3714, 4333, 5571, 8666, 11142, 12999, 25998, 38997, 77994.
What is 77994 in binary?
10011000010101010 (hexadecimal 130AA, octal 230252).
What is the square root of 77994?
About 279.2741, exactly 3√8666.
Is 77994 divisible by 3?
Yes. Its digits add up to 36, a multiple of 3.
What is special about the number 77994?
It is a composite number with 24 divisors.