The number 13027
13027 is a composite number with 4 divisors. Its prime factorisation is 7 × 1861. Divisors (4): 1, 7, 1861, 13027.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 13027: a semiprime: 7 × 1861, the product of two primes.
- 2
13027 is composite. Its prime factorisation is
- 3
The divisors add up to 14896; without 13027 itself that is 1869, so 13027 is deficient (1869 is less than 13027). Euler's totient φ(13027) = 11160 numbers up to 13027 share no factor with it.
- 4
The digits of 13027 add up to 13, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 45 steps to reach 1.
LaTeX source of the formulas on this page
\[ 13027 = 7 \times 1861 \]
13027 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 14896 |
| Euler totient φ(n) | 11160 |
| Square | 169702729 |
| Cube | 2210717450683 |
| Square root | 114.135884 |
| Digit sum / digital root | 13 / 4 |
| Collatz steps to 1 | 45 |
| Scientific notation | 1.3027 × |
13027 in other forms
| Form | Value |
|---|---|
| In words | thirteen thousand and twenty-seven |
| Binary (base 2) | 11001011100011 |
| Octal (base 8) | 31343 |
| Hexadecimal (base 16) | 32E3 |
| Base 3 | 122212111 |
| As time | 13027 seconds = 3 h 37 min 7 s |
Is 13027 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 2) | 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 | Yes (13027 ÷ 7 = 1861) | 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 4) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 7) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 3) | 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 13027 a prime number?
No. 13027 = 7 × 1861, so it is divisible by 7.
What are the factors of 13027?
1, 7, 1861, 13027.
What is 13027 in binary?
11001011100011 (hexadecimal 32E3, octal 31343).
What is the square root of 13027?
About 114.1359.
Is 13027 divisible by 3?
No. Its digits add up to 13, which is not a multiple of 3.
What is special about the number 13027?
13027 is a semiprime: 7 × 1861, the product of two primes.