The number 77049
77049 is a composite number with 12 divisors. Its prime factorisation is × 7 × 1223. Divisors (12): 1, 3, 7, 9, 21, 63, 1223, 3669, 8561, 11007, 25683, 77049.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
77049 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
77049 is composite. Its prime factorisation is
- 3
The divisors add up to 127296; without 77049 itself that is 50247, so 77049 is deficient (50247 is less than 77049). Euler's totient φ(77049) = 43992 numbers up to 77049 share no factor with it.
- 4
The digits of 77049 add up to 27, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 76 steps to reach 1.
LaTeX source of the formulas on this page
\[ 77049 = 3^{2} \times 7 \times 1223 \]77049 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 127296 |
| Euler totient φ(n) | 43992 |
| Square | 5936548401 |
| Cube | 457405117748649 |
| Square root | 277.577016 (= 3√8561) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 76 |
| Scientific notation | 7.7049 × |
77049 in other forms
| Form | Value |
|---|---|
| In words | seventy-seven thousand and forty-nine |
| Binary (base 2) | 10010110011111001 |
| Octal (base 8) | 226371 |
| Hexadecimal (base 16) | 12CF9 |
| Base 3 | 10220200200 |
| As time | 77049 seconds = 21 h 24 min 9 s |
Is 77049 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 | Yes (77049 ÷ 3 = 25683) | 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 4) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 3) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (77049 ÷ 7 = 11007) | 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 | Yes (77049 ÷ 9 = 8561) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 9) | 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 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 77049 a prime number?
No. 77049 = × 7 × 1223, so it is divisible by 3.
What are the factors of 77049?
1, 3, 7, 9, 21, 63, 1223, 3669, 8561, 11007, 25683, 77049.
What is 77049 in binary?
10010110011111001 (hexadecimal 12CF9, octal 226371).
What is the square root of 77049?
About 277.5770, exactly 3√8561.
Is 77049 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 77049?
It is a composite number with 12 divisors.