The number 1077
1077 is a composite number with 4 divisors. Its prime factorisation is 3 × 359. Divisors (4): 1, 3, 359, 1077.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 1077: a semiprime: 3 × 359, the product of two primes.
- 2
1077 is composite. Its prime factorisation is
- 3
The divisors add up to 1440; without 1077 itself that is 363, so 1077 is deficient (363 is less than 1077). Euler's totient φ(1077) = 716 numbers up to 1077 share no factor with it.
- 4
The digits of 1077 add up to 15, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 31 steps to reach 1.
LaTeX source of the formulas on this page
\[ 1077 = 3 \times 359 \]
1077 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 1440 |
| Euler totient φ(n) | 716 |
| Square | 1159929 |
| Cube | 1249243533 |
| Square root | 32.817678 |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 31 |
| Scientific notation | 1.077 × |
1077 in other forms
| Form | Value |
|---|---|
| In words | one thousand and seventy-seven |
| Roman numerals | MLXXVII |
| Binary (base 2) | 10000110101 |
| Octal (base 8) | 2065 |
| Hexadecimal (base 16) | 435 |
| Base 3 | 1110220 |
| As time | 1077 seconds = 17 min 57 s |
Is 1077 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 (1077 ÷ 3 = 359) | 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 6) | 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 6) | 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 1077 a prime number?
No. 1077 = 3 × 359, so it is divisible by 3.
What are the factors of 1077?
1, 3, 359, 1077.
What is 1077 in binary?
10000110101 (hexadecimal 435, octal 2065).
What is the square root of 1077?
About 32.8177.
What is 1077 in Roman numerals?
MLXXVII.
Is 1077 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 1077?
1077 is a semiprime: 3 × 359, the product of two primes.