The number 76977
76977 is a composite number with 8 divisors. Its prime factorisation is × 2851. Divisors (8): 1, 3, 9, 27, 2851, 8553, 25659, 76977.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
76977 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
76977 is composite. Its prime factorisation is
- 3
The divisors add up to 114080; without 76977 itself that is 37103, so 76977 is deficient (37103 is less than 76977). Euler's totient φ(76977) = 51300 numbers up to 76977 share no factor with it.
- 4
The digits of 76977 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 76 steps to reach 1.
LaTeX source of the formulas on this page
\[ 76977 = 3^{3} \times 2851 \]76977 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 114080 |
| Euler totient φ(n) | 51300 |
| Square | 5925458529 |
| Cube | 456124021186833 |
| Square root | 277.447292 (= 3√8553) |
| Digit sum / digital root | 36 / 9 |
| Collatz steps to 1 | 76 |
| Scientific notation | 7.6977 × |
76977 in other forms
| Form | Value |
|---|---|
| In words | seventy-six thousand nine hundred and seventy-seven |
| Binary (base 2) | 10010110010110001 |
| Octal (base 8) | 226261 |
| Hexadecimal (base 16) | 12CB1 |
| Base 3 | 10220121000 |
| As time | 76977 seconds = 21 h 22 min 57 s |
Is 76977 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 (76977 ÷ 3 = 25659) | 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 5) | 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 (76977 ÷ 9 = 8553) | 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 10) | 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 76977 a prime number?
No. 76977 = × 2851, so it is divisible by 3.
What are the factors of 76977?
1, 3, 9, 27, 2851, 8553, 25659, 76977.
What is 76977 in binary?
10010110010110001 (hexadecimal 12CB1, octal 226261).
What is the square root of 76977?
About 277.4473, exactly 3√8553.
Is 76977 divisible by 3?
Yes. Its digits add up to 36, a multiple of 3.
What is special about the number 76977?
It is a composite number with 8 divisors.