The number 11077
11077 is a composite number with 8 divisors. Its prime factorisation is 11 × 19 × 53. Divisors (8): 1, 11, 19, 53, 209, 583, 1007, 11077.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 11077: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
11077 is composite. Its prime factorisation is
- 3
The divisors add up to 12960; without 11077 itself that is 1883, so 11077 is deficient (1883 is less than 11077). Euler's totient φ(11077) = 9360 numbers up to 11077 share no factor with it.
- 4
The digits of 11077 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 68 steps to reach 1.
LaTeX source of the formulas on this page
\[ 11077 = 11 \times 19 \times 53 \]
11077 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 12960 |
| Euler totient φ(n) | 9360 |
| Square | 122699929 |
| Cube | 1359147113533 |
| Square root | 105.247328 |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 68 |
| Scientific notation | 1.1077 × |
11077 in other forms
| Form | Value |
|---|---|
| In words | eleven thousand and seventy-seven |
| Binary (base 2) | 10101101000101 |
| Octal (base 8) | 25505 |
| Hexadecimal (base 16) | 2B45 |
| Base 3 | 120012021 |
| As time | 11077 seconds = 3 h 4 min 37 s |
Is 11077 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 1) | 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 1) | 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 | No (remainder 7) | 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 | Yes (11077 ÷ 11 = 1007) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 1) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 11077 a prime number?
No. 11077 = 11 × 19 × 53, so it is divisible by 11.
What are the factors of 11077?
1, 11, 19, 53, 209, 583, 1007, 11077.
What is 11077 in binary?
10101101000101 (hexadecimal 2B45, octal 25505).
What is the square root of 11077?
About 105.2473.
Is 11077 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 11077?
11077 is a happy number: repeatedly adding the squares of its digits reaches 1.