The number 13041
13041 is a triangular number: 1 + 2 + … + 161 = 13041. Its prime factorisation is × 7 × 23. Divisors (20): 1, 3, 7, 9, 21, 23, 27, 63, 69, 81, 161, 189, 207, 483, 567, 621 … 13041.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 13041: a triangular number: 1 + 2 + … + 161 = 13041; a Harshad number: divisible by its digit sum 9.
- 2
13041 is composite. Its prime factorisation is
- 3
The divisors add up to 23232; without 13041 itself that is 10191, so 13041 is deficient (10191 is less than 13041). Euler's totient φ(13041) = 7128 numbers up to 13041 share no factor with it.
- 4
The digits of 13041 add up to 9, 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
\[ 13041 = 3^{4} \times 7 \times 23 \]13041 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 20 |
| Sum of divisors | 23232 |
| Euler totient φ(n) | 7128 |
| Square | 170067681 |
| Cube | 2217852627921 |
| Square root | 114.197198 (= 9√161) |
| Digit sum / digital root | 9 / 9 |
| Collatz steps to 1 | 45 |
| Scientific notation | 1.3041 × |
13041 in other forms
| Form | Value |
|---|---|
| In words | thirteen thousand and forty-one |
| Binary (base 2) | 11001011110001 |
| Octal (base 8) | 31361 |
| Hexadecimal (base 16) | 32F1 |
| Base 3 | 122220000 |
| As time | 13041 seconds = 3 h 37 min 21 s |
Is 13041 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 (13041 ÷ 3 = 4347) | 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 3) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (13041 ÷ 7 = 1863) | 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 1) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (13041 ÷ 9 = 1449) | 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 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 13041 a prime number?
No. 13041 = × 7 × 23, so it is divisible by 3.
What are the factors of 13041?
1, 3, 7, 9, 21, 23, 27, 63, 69, 81, 161, 189, 207, 483, 567, 621, 1449, 1863, 4347, 13041.
What is 13041 in binary?
11001011110001 (hexadecimal 32F1, octal 31361).
What is the square root of 13041?
About 114.1972, exactly 9√161.
Is 13041 divisible by 3?
Yes. Its digits add up to 9, a multiple of 3.
What is special about the number 13041?
13041 is a triangular number: 1 + 2 + … + 161 = 13041; a Harshad number: divisible by its digit sum 9.