The number 13274
13274 is a composite number with 4 divisors. Its prime factorisation is 2 × 6637. Divisors (4): 1, 2, 6637, 13274.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 13274: a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 2 × 6637, the product of two primes.
- 2
13274 is composite. Its prime factorisation is
- 3
The divisors add up to 19914; without 13274 itself that is 6640, so 13274 is deficient (6640 is less than 13274). Euler's totient φ(13274) = 6636 numbers up to 13274 share no factor with it.
- 4
The digits of 13274 add up to 17, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 45 steps to reach 1.
LaTeX source of the formulas on this page
\[ 13274 = 2 \times 6637 \]
13274 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 4 |
| Sum of divisors | 19914 |
| Euler totient φ(n) | 6636 |
| Square | 176199076 |
| Cube | 2338866534824 |
| Square root | 115.212847 |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 45 |
| Scientific notation | 1.3274 × |
13274 in other forms
| Form | Value |
|---|---|
| In words | thirteen thousand two hundred and seventy-four |
| Binary (base 2) | 11001111011010 |
| Octal (base 8) | 31732 |
| Hexadecimal (base 16) | 33DA |
| Base 3 | 200012122 |
| As time | 13274 seconds = 3 h 41 min 14 s |
Is 13274 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (13274 ÷ 2 = 6637) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 2) | 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 | No (remainder 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 2) | 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 8) | 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 8) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 2) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 13274 a prime number?
No. 13274 = 2 × 6637, so it is divisible by 2.
What are the factors of 13274?
1, 2, 6637, 13274.
What is 13274 in binary?
11001111011010 (hexadecimal 33DA, octal 31732).
What is the square root of 13274?
About 115.2128.
Is 13274 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 13274?
13274 is a happy number: repeatedly adding the squares of its digits reaches 1; a semiprime: 2 × 6637, the product of two primes.