The number 13029
13029 is a composite number with 8 divisors. Its prime factorisation is 3 × 43 × 101. Divisors (8): 1, 3, 43, 101, 129, 303, 4343, 13029.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
13029 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
13029 is composite. Its prime factorisation is
- 3
The divisors add up to 17952; without 13029 itself that is 4923, so 13029 is deficient (4923 is less than 13029). Euler's totient φ(13029) = 8400 numbers up to 13029 share no factor with it.
- 4
The digits of 13029 add up to 15, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 50 steps to reach 1.
LaTeX source of the formulas on this page
\[ 13029 = 3 \times 43 \times 101 \]
13029 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 17952 |
| Euler totient φ(n) | 8400 |
| Square | 169754841 |
| Cube | 2211735823389 |
| Square root | 114.144645 |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 50 |
| Scientific notation | 1.3029 × |
13029 in other forms
| Form | Value |
|---|---|
| In words | thirteen thousand and twenty-nine |
| Binary (base 2) | 11001011100101 |
| Octal (base 8) | 31345 |
| Hexadecimal (base 16) | 32E5 |
| Base 3 | 122212120 |
| As time | 13029 seconds = 3 h 37 min 9 s |
Is 13029 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 (13029 ÷ 3 = 4343) | 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 4) | 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 2) | 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 6) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 9) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 5) | 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 13029 a prime number?
No. 13029 = 3 × 43 × 101, so it is divisible by 3.
What are the factors of 13029?
1, 3, 43, 101, 129, 303, 4343, 13029.
What is 13029 in binary?
11001011100101 (hexadecimal 32E5, octal 31345).
What is the square root of 13029?
About 114.1446.
Is 13029 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 13029?
It is a composite number with 8 divisors.