The number 13039
13039 is a composite number with 8 divisors. Its prime factorisation is 13 × 17 × 59. Divisors (8): 1, 13, 17, 59, 221, 767, 1003, 13039.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 13039: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
13039 is composite. Its prime factorisation is
- 3
The divisors add up to 15120; without 13039 itself that is 2081, so 13039 is deficient (2081 is less than 13039). Euler's totient φ(13039) = 11136 numbers up to 13039 share no factor with it.
- 4
The digits of 13039 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 81 steps to reach 1.
LaTeX source of the formulas on this page
\[ 13039 = 13 \times 17 \times 59 \]
13039 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 15120 |
| Euler totient φ(n) | 11136 |
| Square | 170015521 |
| Cube | 2216832378319 |
| Square root | 114.188441 |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 81 |
| Scientific notation | 1.3039 × |
13039 in other forms
| Form | Value |
|---|---|
| In words | thirteen thousand and thirty-nine |
| Binary (base 2) | 11001011101111 |
| Octal (base 8) | 31357 |
| Hexadecimal (base 16) | 32EF |
| Base 3 | 122212221 |
| As time | 13039 seconds = 3 h 37 min 19 s |
Is 13039 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 3) | 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 1) | 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 7) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 7) | 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 4) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 7) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 13039 a prime number?
No. 13039 = 13 × 17 × 59, so it is divisible by 13.
What are the factors of 13039?
1, 13, 17, 59, 221, 767, 1003, 13039.
What is 13039 in binary?
11001011101111 (hexadecimal 32EF, octal 31357).
What is the square root of 13039?
About 114.1884.
Is 13039 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 13039?
13039 is a happy number: repeatedly adding the squares of its digits reaches 1.