The number 13334
13334 is a composite number with 8 divisors. Its prime factorisation is 2 × 59 × 113. Divisors (8): 1, 2, 59, 113, 118, 226, 6667, 13334.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 13334: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
13334 is composite. Its prime factorisation is
- 3
The divisors add up to 20520; without 13334 itself that is 7186, so 13334 is deficient (7186 is less than 13334). Euler's totient φ(13334) = 6496 numbers up to 13334 share no factor with it.
- 4
The digits of 13334 add up to 14, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 182 steps to reach 1.
LaTeX source of the formulas on this page
\[ 13334 = 2 \times 59 \times 113 \]
13334 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 20520 |
| Euler totient φ(n) | 6496 |
| Square | 177795556 |
| Cube | 2370725943704 |
| Square root | 115.472941 |
| Digit sum / digital root | 14 / 5 |
| Collatz steps to 1 | 182 |
| Scientific notation | 1.3334 × |
13334 in other forms
| Form | Value |
|---|---|
| In words | thirteen thousand three hundred and thirty-four |
| Binary (base 2) | 11010000010110 |
| Octal (base 8) | 32026 |
| Hexadecimal (base 16) | 3416 |
| Base 3 | 200021212 |
| As time | 13334 seconds = 3 h 42 min 14 s |
Is 13334 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (13334 ÷ 2 = 6667) | 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 6) | 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 | No (remainder 5) | 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 2) | 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 13334 a prime number?
No. 13334 = 2 × 59 × 113, so it is divisible by 2.
What are the factors of 13334?
1, 2, 59, 113, 118, 226, 6667, 13334.
What is 13334 in binary?
11010000010110 (hexadecimal 3416, octal 32026).
What is the square root of 13334?
About 115.4729.
Is 13334 divisible by 3?
No. Its digits add up to 14, which is not a multiple of 3.
What is special about the number 13334?
13334 is a happy number: repeatedly adding the squares of its digits reaches 1.