The number 13042
13042 is a composite number with 4 divisors. Its prime factorisation is 2 × 6521. Divisors (4): 1, 2, 6521, 13042.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 13042: a semiprime: 2 × 6521, the product of two primes.
- 2
13042 is composite. Its prime factorisation is
- 3
The divisors add up to 19566; without 13042 itself that is 6524, so 13042 is deficient (6524 is less than 13042). Euler's totient φ(13042) = 6520 numbers up to 13042 share no factor with it.
- 4
The digits of 13042 add up to 10, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 182 steps to reach 1.
LaTeX source of the formulas on this page
\[ 13042 = 2 \times 6521 \]
13042 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 19566 |
| Euler totient φ(n) | 6520 |
| Square | 170093764 |
| Cube | 2218362870088 |
| Square root | 114.201576 |
| Digit sum / digital root | 10 / 1 |
| Collatz steps to 1 | 182 |
| Scientific notation | 1.3042 × |
13042 in other forms
| Form | Value |
|---|---|
| In words | thirteen thousand and forty-two |
| Binary (base 2) | 11001011110010 |
| Octal (base 8) | 31362 |
| Hexadecimal (base 16) | 32F2 |
| Base 3 | 122220001 |
| As time | 13042 seconds = 3 h 37 min 22 s |
Is 13042 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (13042 ÷ 2 = 6521) | 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 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 2) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 1) | 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 2) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 1) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 2) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 7) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 10) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 13042 a prime number?
No. 13042 = 2 × 6521, so it is divisible by 2.
What are the factors of 13042?
1, 2, 6521, 13042.
What is 13042 in binary?
11001011110010 (hexadecimal 32F2, octal 31362).
What is the square root of 13042?
About 114.2016.
Is 13042 divisible by 3?
No. Its digits add up to 10, which is not a multiple of 3.
What is special about the number 13042?
13042 is a semiprime: 2 × 6521, the product of two primes.