The number 13261
13261 is a composite number with 4 divisors. Its prime factorisation is 89 × 149. Divisors (4): 1, 89, 149, 13261.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 13261: a semiprime: 89 × 149, the product of two primes.
- 2
13261 is composite. Its prime factorisation is
- 3
The divisors add up to 13500; without 13261 itself that is 239, so 13261 is deficient (239 is less than 13261). Euler's totient φ(13261) = 13024 numbers up to 13261 share no factor with it.
- 4
The digits of 13261 add up to 13, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 76 steps to reach 1.
LaTeX source of the formulas on this page
\[ 13261 = 89 \times 149 \]
13261 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 13500 |
| Euler totient φ(n) | 13024 |
| Square | 175854121 |
| Cube | 2332001498581 |
| Square root | 115.156415 |
| Digit sum / digital root | 13 / 4 |
| Collatz steps to 1 | 76 |
| Scientific notation | 1.3261 × |
13261 in other forms
| Form | Value |
|---|---|
| In words | thirteen thousand two hundred and sixty-one |
| Binary (base 2) | 11001111001101 |
| Octal (base 8) | 31715 |
| Hexadecimal (base 16) | 33CD |
| Base 3 | 200012011 |
| As time | 13261 seconds = 3 h 41 min 1 s |
Is 13261 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 1) | 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 4) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 1) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 6) | 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 13261 a prime number?
No. 13261 = 89 × 149, so it is divisible by 89.
What are the factors of 13261?
1, 89, 149, 13261.
What is 13261 in binary?
11001111001101 (hexadecimal 33CD, octal 31715).
What is the square root of 13261?
About 115.1564.
Is 13261 divisible by 3?
No. Its digits add up to 13, which is not a multiple of 3.
What is special about the number 13261?
13261 is a semiprime: 89 × 149, the product of two primes.