The number 15834
15834 is a composite number with 32 divisors. Its prime factorisation is 2 × 3 × 7 × 13 × 29. Divisors (32): 1, 2, 3, 6, 7, 13, 14, 21, 26, 29, 39, 42, 58, 78, 87, 91 … 15834.
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How to work it out
- 1
What is special about 15834: a Harshad number: divisible by its digit sum 21.
- 2
15834 is composite. Its prime factorisation is
- 3
The divisors add up to 40320; without 15834 itself that is 24486, so 15834 is abundant (24486 is more than 15834). Euler's totient φ(15834) = 4032 numbers up to 15834 share no factor with it.
- 4
The digits of 15834 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 146 steps to reach 1.
LaTeX source of the formulas on this page
\[ 15834 = 2 \times 3 \times 7 \times 13 \times 29 \]
15834 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 40320 |
| Euler totient φ(n) | 4032 |
| Square | 250715556 |
| Cube | 3969830113704 |
| Square root | 125.833223 |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 146 |
| Scientific notation | 1.5834 × |
15834 in other forms
| Form | Value |
|---|---|
| In words | fifteen thousand eight hundred and thirty-four |
| Binary (base 2) | 11110111011010 |
| Octal (base 8) | 36732 |
| Hexadecimal (base 16) | 3DDA |
| Base 3 | 210201110 |
| As time | 15834 seconds = 4 h 23 min 54 s |
Is 15834 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (15834 ÷ 2 = 7917) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (15834 ÷ 3 = 5278) | 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 (15834 ÷ 6 = 2639) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (15834 ÷ 7 = 2262) | 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 3) | 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 5) | 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 15834 a prime number?
No. 15834 = 2 × 3 × 7 × 13 × 29, so it is divisible by 2.
What are the factors of 15834?
1, 2, 3, 6, 7, 13, 14, 21, 26, 29, 39, 42, 58, 78, 87, 91, 174, 182, 203, 273, 377, 406, 546, 609, 754, 1131, 1218, 2262, 2639, 5278, 7917, 15834.
What is 15834 in binary?
11110111011010 (hexadecimal 3DDA, octal 36732).
What is the square root of 15834?
About 125.8332.
Is 15834 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 15834?
15834 is a Harshad number: divisible by its digit sum 21.