The number 13277
13277 is a composite number with 8 divisors. Its prime factorisation is 11 × 17 × 71. Divisors (8): 1, 11, 17, 71, 187, 781, 1207, 13277.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
13277 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
13277 is composite. Its prime factorisation is
- 3
The divisors add up to 15552; without 13277 itself that is 2275, so 13277 is deficient (2275 is less than 13277). Euler's totient φ(13277) = 11200 numbers up to 13277 share no factor with it.
- 4
The digits of 13277 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 45 steps to reach 1.
LaTeX source of the formulas on this page
\[ 13277 = 11 \times 17 \times 71 \]
13277 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 15552 |
| Euler totient φ(n) | 11200 |
| Square | 176278729 |
| Cube | 2340452684933 |
| Square root | 115.225865 |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 45 |
| Scientific notation | 1.3277 × |
13277 in other forms
| Form | Value |
|---|---|
| In words | thirteen thousand two hundred and seventy-seven |
| Binary (base 2) | 11001111011101 |
| Octal (base 8) | 31735 |
| Hexadecimal (base 16) | 33DD |
| Base 3 | 200012202 |
| As time | 13277 seconds = 3 h 41 min 17 s |
Is 13277 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 5) | 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 2) | 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 (13277 ÷ 11 = 1207) | 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 13277 a prime number?
No. 13277 = 11 × 17 × 71, so it is divisible by 11.
What are the factors of 13277?
1, 11, 17, 71, 187, 781, 1207, 13277.
What is 13277 in binary?
11001111011101 (hexadecimal 33DD, octal 31735).
What is the square root of 13277?
About 115.2259.
Is 13277 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 13277?
It is a composite number with 8 divisors.