The number 3077
3077 is a composite number with 4 divisors. Its prime factorisation is 17 × 181. Divisors (4): 1, 17, 181, 3077.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 3077: a Harshad number: divisible by its digit sum 17; a semiprime: 17 × 181, the product of two primes.
- 2
3077 is composite. Its prime factorisation is
- 3
The divisors add up to 3276; without 3077 itself that is 199, so 3077 is deficient (199 is less than 3077). Euler's totient φ(3077) = 2880 numbers up to 3077 share no factor with it.
- 4
The digits of 3077 add up to 17, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 35 steps to reach 1.
LaTeX source of the formulas on this page
\[ 3077 = 17 \times 181 \]
3077 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 3276 |
| Euler totient φ(n) | 2880 |
| Square | 9467929 |
| Cube | 29132817533 |
| Square root | 55.470713 |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 35 |
| Scientific notation | 3.077 × |
3077 in other forms
| Form | Value |
|---|---|
| In words | three thousand and seventy-seven |
| Roman numerals | MMMLXXVII |
| Binary (base 2) | 110000000101 |
| Octal (base 8) | 6005 |
| Hexadecimal (base 16) | C05 |
| Base 3 | 11012222 |
| As time | 3077 seconds = 51 min 17 s |
Is 3077 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 | No (remainder 2) | 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 5) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 4) | 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 | No (remainder 8) | 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 8) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 5) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 3077 a prime number?
No. 3077 = 17 × 181, so it is divisible by 17.
What are the factors of 3077?
1, 17, 181, 3077.
What is 3077 in binary?
110000000101 (hexadecimal C05, octal 6005).
What is the square root of 3077?
About 55.4707.
What is 3077 in Roman numerals?
MMMLXXVII.
Is 3077 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 3077?
3077 is a Harshad number: divisible by its digit sum 17; a semiprime: 17 × 181, the product of two primes.