The number 7077
7077 is a composite number with 8 divisors. Its prime factorisation is 3 × 7 × 337. Divisors (8): 1, 3, 7, 21, 337, 1011, 2359, 7077.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 7077: a Harshad number: divisible by its digit sum 21.
- 2
7077 is composite. Its prime factorisation is
- 3
The divisors add up to 10816; without 7077 itself that is 3739, so 7077 is deficient (3739 is less than 7077). Euler's totient φ(7077) = 4032 numbers up to 7077 share no factor with it.
- 4
The digits of 7077 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 57 steps to reach 1.
LaTeX source of the formulas on this page
\[ 7077 = 3 \times 7 \times 337 \]
7077 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 10816 |
| Euler totient φ(n) | 4032 |
| Square | 50083929 |
| Cube | 354443965533 |
| Square root | 84.124907 |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 57 |
| Scientific notation | 7.077 × |
7077 in other forms
| Form | Value |
|---|---|
| In words | seven thousand and seventy-seven |
| Binary (base 2) | 1101110100101 |
| Octal (base 8) | 15645 |
| Hexadecimal (base 16) | 1BA5 |
| Base 3 | 100201010 |
| As time | 7077 seconds = 1 h 57 min 57 s |
Is 7077 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 (7077 ÷ 3 = 2359) | 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 | Yes (7077 ÷ 7 = 1011) | 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 3) | 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 4) | 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 7077 a prime number?
No. 7077 = 3 × 7 × 337, so it is divisible by 3.
What are the factors of 7077?
1, 3, 7, 21, 337, 1011, 2359, 7077.
What is 7077 in binary?
1101110100101 (hexadecimal 1BA5, octal 15645).
What is the square root of 7077?
About 84.1249.
Is 7077 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 7077?
7077 is a Harshad number: divisible by its digit sum 21.