The number 13077
13077 is a composite number with 6 divisors. Its prime factorisation is × 1453. Divisors (6): 1, 3, 9, 1453, 4359, 13077.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
13077 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
13077 is composite. Its prime factorisation is
- 3
The divisors add up to 18902; without 13077 itself that is 5825, so 13077 is deficient (5825 is less than 13077). Euler's totient φ(13077) = 8712 numbers up to 13077 share no factor with it.
- 4
The digits of 13077 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 45 steps to reach 1.
LaTeX source of the formulas on this page
\[ 13077 = 3^{2} \times 1453 \]13077 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 18902 |
| Euler totient φ(n) | 8712 |
| Square | 171007929 |
| Cube | 2236270687533 |
| Square root | 114.354711 (= 3√1453) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 45 |
| Scientific notation | 1.3077 × |
13077 in other forms
| Form | Value |
|---|---|
| In words | thirteen thousand and seventy-seven |
| Binary (base 2) | 11001100010101 |
| Octal (base 8) | 31425 |
| Hexadecimal (base 16) | 3315 |
| Base 3 | 122221100 |
| As time | 13077 seconds = 3 h 37 min 57 s |
Is 13077 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 (13077 ÷ 3 = 4359) | 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 1) | 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 | Yes (13077 ÷ 9 = 1453) | 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 9) | 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 13077 a prime number?
No. 13077 = × 1453, so it is divisible by 3.
What are the factors of 13077?
1, 3, 9, 1453, 4359, 13077.
What is 13077 in binary?
11001100010101 (hexadecimal 3315, octal 31425).
What is the square root of 13077?
About 114.3547, exactly 3√1453.
Is 13077 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 13077?
It is a composite number with 6 divisors.