The number 13262
13262 is a composite number with 8 divisors. Its prime factorisation is 2 × 19 × 349. Divisors (8): 1, 2, 19, 38, 349, 698, 6631, 13262.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
13262 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
13262 is composite. Its prime factorisation is
- 3
The divisors add up to 21000; without 13262 itself that is 7738, so 13262 is deficient (7738 is less than 13262). Euler's totient φ(13262) = 6264 numbers up to 13262 share no factor with it.
- 4
The digits of 13262 add up to 14, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 138 steps to reach 1.
LaTeX source of the formulas on this page
\[ 13262 = 2 \times 19 \times 349 \]
13262 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 21000 |
| Euler totient φ(n) | 6264 |
| Square | 175880644 |
| Cube | 2332529100728 |
| Square root | 115.160757 |
| Digit sum / digital root | 14 / 5 |
| Collatz steps to 1 | 138 |
| Scientific notation | 1.3262 × |
13262 in other forms
| Form | Value |
|---|---|
| In words | thirteen thousand two hundred and sixty-two |
| Binary (base 2) | 11001111001110 |
| Octal (base 8) | 31716 |
| Hexadecimal (base 16) | 33CE |
| Base 3 | 200012012 |
| As time | 13262 seconds = 3 h 41 min 2 s |
Is 13262 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (13262 ÷ 2 = 6631) | 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 2) | 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 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 4) | 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 6) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 5) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 2) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 7) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 2) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 13262 a prime number?
No. 13262 = 2 × 19 × 349, so it is divisible by 2.
What are the factors of 13262?
1, 2, 19, 38, 349, 698, 6631, 13262.
What is 13262 in binary?
11001111001110 (hexadecimal 33CE, octal 31716).
What is the square root of 13262?
About 115.1608.
Is 13262 divisible by 3?
No. Its digits add up to 14, which is not a multiple of 3.
What is special about the number 13262?
It is a composite number with 8 divisors.