The number 13014
13014 is a composite number with 16 divisors. Its prime factorisation is 2 × × 241. Divisors (16): 1, 2, 3, 6, 9, 18, 27, 54, 241, 482, 723, 1446, 2169, 4338, 6507, 13014.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 13014: a Harshad number: divisible by its digit sum 9.
- 2
13014 is composite. Its prime factorisation is
- 3
The divisors add up to 29040; without 13014 itself that is 16026, so 13014 is abundant (16026 is more than 13014). Euler's totient φ(13014) = 4320 numbers up to 13014 share no factor with it.
- 4
The digits of 13014 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 50 steps to reach 1.
LaTeX source of the formulas on this page
\[ 13014 = 2 \times 3^{3} \times 241 \]13014 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 29040 |
| Euler totient φ(n) | 4320 |
| Square | 169364196 |
| Cube | 2204105646744 |
| Square root | 114.078920 (= 3√1446) |
| Digit sum / digital root | 9 / 9 |
| Collatz steps to 1 | 50 |
| Scientific notation | 1.3014 × |
13014 in other forms
| Form | Value |
|---|---|
| In words | thirteen thousand and fourteen |
| Binary (base 2) | 11001011010110 |
| Octal (base 8) | 31326 |
| Hexadecimal (base 16) | 32D6 |
| Base 3 | 122212000 |
| As time | 13014 seconds = 3 h 36 min 54 s |
Is 13014 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (13014 ÷ 2 = 6507) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (13014 ÷ 3 = 4338) | 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 4) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (13014 ÷ 6 = 2169) | 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 6) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (13014 ÷ 9 = 1446) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 4) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 1) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 13014 a prime number?
No. 13014 = 2 × × 241, so it is divisible by 2.
What are the factors of 13014?
1, 2, 3, 6, 9, 18, 27, 54, 241, 482, 723, 1446, 2169, 4338, 6507, 13014.
What is 13014 in binary?
11001011010110 (hexadecimal 32D6, octal 31326).
What is the square root of 13014?
About 114.0789, exactly 3√1446.
Is 13014 divisible by 3?
Yes. Its digits add up to 9, a multiple of 3.
What is special about the number 13014?
13014 is a Harshad number: divisible by its digit sum 9.