The number 13011
13011 is a binary palindrome (11001011010011). Its prime factorisation is 3 × 4337. Divisors (4): 1, 3, 4337, 13011.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 13011: a binary palindrome (11001011010011); a semiprime: 3 × 4337, the product of two primes.
- 2
13011 is composite. Its prime factorisation is
- 3
The divisors add up to 17352; without 13011 itself that is 4341, so 13011 is deficient (4341 is less than 13011). Euler's totient φ(13011) = 8672 numbers up to 13011 share no factor with it.
- 4
The digits of 13011 add up to 6, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 138 steps to reach 1.
LaTeX source of the formulas on this page
\[ 13011 = 3 \times 4337 \]
13011 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 17352 |
| Euler totient φ(n) | 8672 |
| Square | 169286121 |
| Cube | 2202581720331 |
| Square root | 114.065771 |
| Digit sum / digital root | 6 / 6 |
| Collatz steps to 1 | 138 |
| Scientific notation | 1.3011 × |
13011 in other forms
| Form | Value |
|---|---|
| In words | thirteen thousand and eleven |
| Binary (base 2) | 11001011010011 |
| Octal (base 8) | 31323 |
| Hexadecimal (base 16) | 32D3 |
| Base 3 | 122211220 |
| As time | 13011 seconds = 3 h 36 min 51 s |
Is 13011 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 (13011 ÷ 3 = 4337) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 3) | 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 3) | 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 3) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 6) | 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 9) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 3) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 13011 a prime number?
No. 13011 = 3 × 4337, so it is divisible by 3.
What are the factors of 13011?
1, 3, 4337, 13011.
What is 13011 in binary?
11001011010011 (hexadecimal 32D3, octal 31323).
What is the square root of 13011?
About 114.0658.
Is 13011 divisible by 3?
Yes. Its digits add up to 6, a multiple of 3.
What is special about the number 13011?
13011 is a binary palindrome (11001011010011); a semiprime: 3 × 4337, the product of two primes.