The number 76077
76077 is a composite number with 12 divisors. Its prime factorisation is × 79 × 107. Divisors (12): 1, 3, 9, 79, 107, 237, 321, 711, 963, 8453, 25359, 76077.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
76077 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
76077 is composite. Its prime factorisation is
- 3
The divisors add up to 112320; without 76077 itself that is 36243, so 76077 is deficient (36243 is less than 76077). Euler's totient φ(76077) = 49608 numbers up to 76077 share no factor with it.
- 4
The digits of 76077 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 55 steps to reach 1.
LaTeX source of the formulas on this page
\[ 76077 = 3^{2} \times 79 \times 107 \]76077 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 112320 |
| Euler totient φ(n) | 49608 |
| Square | 5787709929 |
| Cube | 440311608268533 |
| Square root | 275.820594 (= 3√8453) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 55 |
| Scientific notation | 7.6077 × |
76077 in other forms
| Form | Value |
|---|---|
| In words | seventy-six thousand and seventy-seven |
| Binary (base 2) | 10010100100101101 |
| Octal (base 8) | 224455 |
| Hexadecimal (base 16) | 1292D |
| Base 3 | 10212100200 |
| As time | 76077 seconds = 21 h 7 min 57 s |
Is 76077 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 (76077 ÷ 3 = 25359) | 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 2) | 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 | No (remainder 1) | 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 5) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (76077 ÷ 9 = 8453) | 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 | No (remainder 1) | 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 76077 a prime number?
No. 76077 = × 79 × 107, so it is divisible by 3.
What are the factors of 76077?
1, 3, 9, 79, 107, 237, 321, 711, 963, 8453, 25359, 76077.
What is 76077 in binary?
10010100100101101 (hexadecimal 1292D, octal 224455).
What is the square root of 76077?
About 275.8206, exactly 3√8453.
Is 76077 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 76077?
It is a composite number with 12 divisors.