The number 15334
15334 is a composite number with 16 divisors. Its prime factorisation is 2 × 11 × 17 × 41. Divisors (16): 1, 2, 11, 17, 22, 34, 41, 82, 187, 374, 451, 697, 902, 1394, 7667, 15334.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
15334 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
15334 is composite. Its prime factorisation is
- 3
The divisors add up to 27216; without 15334 itself that is 11882, so 15334 is deficient (11882 is less than 15334). Euler's totient φ(15334) = 6400 numbers up to 15334 share no factor with it.
- 4
The digits of 15334 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 58 steps to reach 1.
LaTeX source of the formulas on this page
\[ 15334 = 2 \times 11 \times 17 \times 41 \]
15334 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 27216 |
| Euler totient φ(n) | 6400 |
| Square | 235131556 |
| Cube | 3605507279704 |
| Square root | 123.830529 |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 58 |
| Scientific notation | 1.5334 × |
15334 in other forms
| Form | Value |
|---|---|
| In words | fifteen thousand three hundred and thirty-four |
| Binary (base 2) | 11101111100110 |
| Octal (base 8) | 35746 |
| Hexadecimal (base 16) | 3BE6 |
| Base 3 | 210000221 |
| As time | 15334 seconds = 4 h 15 min 34 s |
Is 15334 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (15334 ÷ 2 = 7667) | 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 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 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 4) | 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 7) | 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 | Yes (15334 ÷ 11 = 1394) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 10) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 15334 a prime number?
No. 15334 = 2 × 11 × 17 × 41, so it is divisible by 2.
What are the factors of 15334?
1, 2, 11, 17, 22, 34, 41, 82, 187, 374, 451, 697, 902, 1394, 7667, 15334.
What is 15334 in binary?
11101111100110 (hexadecimal 3BE6, octal 35746).
What is the square root of 15334?
About 123.8305.
Is 15334 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 15334?
It is a composite number with 16 divisors.