The number 12077
12077 is a composite number with 4 divisors. Its prime factorisation is 13 × 929. Divisors (4): 1, 13, 929, 12077.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 12077: a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 13 × 929, the product of two primes.
- 2
12077 is composite. Its prime factorisation is
- 3
The divisors add up to 13020; without 12077 itself that is 943, so 12077 is deficient (943 is less than 12077). Euler's totient φ(12077) = 11136 numbers up to 12077 share no factor with it.
- 4
The digits of 12077 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 68 steps to reach 1.
LaTeX source of the formulas on this page
\[ 12077 = 13 \times 929 \]
12077 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 13020 |
| Euler totient φ(n) | 11136 |
| Square | 145853929 |
| Cube | 1761477900533 |
| Square root | 109.895405 |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 68 |
| Scientific notation | 1.2077 × |
12077 in other forms
| Form | Value |
|---|---|
| In words | twelve thousand and seventy-seven |
| Binary (base 2) | 10111100101101 |
| Octal (base 8) | 27455 |
| Hexadecimal (base 16) | 2F2D |
| Base 3 | 121120022 |
| As time | 12077 seconds = 3 h 21 min 17 s |
Is 12077 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 2) | 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 10) | 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 12077 a prime number?
No. 12077 = 13 × 929, so it is divisible by 13.
What are the factors of 12077?
1, 13, 929, 12077.
What is 12077 in binary?
10111100101101 (hexadecimal 2F2D, octal 27455).
What is the square root of 12077?
About 109.8954.
Is 12077 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 12077?
12077 is a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 13 × 929, the product of two primes.