The number 4077
4077 is a composite number with 8 divisors. Its prime factorisation is × 151. Divisors (8): 1, 3, 9, 27, 151, 453, 1359, 4077.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
4077 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
4077 is composite. Its prime factorisation is
- 3
The divisors add up to 6080; without 4077 itself that is 2003, so 4077 is deficient (2003 is less than 4077). Euler's totient φ(4077) = 2700 numbers up to 4077 share no factor with it.
- 4
The digits of 4077 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 64 steps to reach 1.
LaTeX source of the formulas on this page
\[ 4077 = 3^{3} \times 151 \]4077 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 6080 |
| Euler totient φ(n) | 2700 |
| Square | 16621929 |
| Cube | 67767604533 |
| Square root | 63.851390 (= 3√453) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 64 |
| Scientific notation | 4.077 × |
4077 in other forms
| Form | Value |
|---|---|
| In words | four thousand and seventy-seven |
| Binary (base 2) | 111111101101 |
| Octal (base 8) | 7755 |
| Hexadecimal (base 16) | FED |
| Base 3 | 12121000 |
| As time | 4077 seconds = 1 h 7 min 57 s |
Is 4077 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 (4077 ÷ 3 = 1359) | 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 3) | 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 (4077 ÷ 9 = 453) | 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 7) | 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 4077 a prime number?
No. 4077 = × 151, so it is divisible by 3.
What are the factors of 4077?
1, 3, 9, 27, 151, 453, 1359, 4077.
What is 4077 in binary?
111111101101 (hexadecimal FED, octal 7755).
What is the square root of 4077?
About 63.8514, exactly 3√453.
Is 4077 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 4077?
It is a composite number with 8 divisors.