The number 13074
13074 is a composite number with 8 divisors. Its prime factorisation is 2 × 3 × 2179. Divisors (8): 1, 2, 3, 6, 2179, 4358, 6537, 13074.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
13074 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
13074 is composite. Its prime factorisation is
- 3
The divisors add up to 26160; without 13074 itself that is 13086, so 13074 is abundant (13086 is more than 13074). Euler's totient φ(13074) = 4356 numbers up to 13074 share no factor with it.
- 4
The digits of 13074 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 107 steps to reach 1.
LaTeX source of the formulas on this page
\[ 13074 = 2 \times 3 \times 2179 \]
13074 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 26160 |
| Euler totient φ(n) | 4356 |
| Square | 170929476 |
| Cube | 2234731969224 |
| Square root | 114.341593 |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 107 |
| Scientific notation | 1.3074 × |
13074 in other forms
| Form | Value |
|---|---|
| In words | thirteen thousand and seventy-four |
| Binary (base 2) | 11001100010010 |
| Octal (base 8) | 31422 |
| Hexadecimal (base 16) | 3312 |
| Base 3 | 122221020 |
| As time | 13074 seconds = 3 h 37 min 54 s |
Is 13074 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (13074 ÷ 2 = 6537) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (13074 ÷ 3 = 4358) | 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 (13074 ÷ 6 = 2179) | 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 2) | 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 4) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 6) | 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 13074 a prime number?
No. 13074 = 2 × 3 × 2179, so it is divisible by 2.
What are the factors of 13074?
1, 2, 3, 6, 2179, 4358, 6537, 13074.
What is 13074 in binary?
11001100010010 (hexadecimal 3312, octal 31422).
What is the square root of 13074?
About 114.3416.
Is 13074 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 13074?
It is a composite number with 8 divisors.