The number 15704
15704 is a composite number with 16 divisors. Its prime factorisation is × 13 × 151. Divisors (16): 1, 2, 4, 8, 13, 26, 52, 104, 151, 302, 604, 1208, 1963, 3926, 7852, 15704.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 15704: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
15704 is composite. Its prime factorisation is
- 3
The divisors add up to 31920; without 15704 itself that is 16216, so 15704 is abundant (16216 is more than 15704). Euler's totient φ(15704) = 7200 numbers up to 15704 share no factor with it.
- 4
The digits of 15704 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 84 steps to reach 1.
LaTeX source of the formulas on this page
\[ 15704 = 2^{3} \times 13 \times 151 \]15704 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 31920 |
| Euler totient φ(n) | 7200 |
| Square | 246615616 |
| Cube | 3872851633664 |
| Square root | 125.315602 (= 2√3926) |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 84 |
| Scientific notation | 1.5704 × |
15704 in other forms
| Form | Value |
|---|---|
| In words | fifteen thousand seven hundred and four |
| Binary (base 2) | 11110101011000 |
| Octal (base 8) | 36530 |
| Hexadecimal (base 16) | 3D58 |
| Base 3 | 210112122 |
| As time | 15704 seconds = 4 h 21 min 44 s |
Is 15704 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (15704 ÷ 2 = 7852) | 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 | Yes (15704 ÷ 4 = 3926) | 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 3) | 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 | Yes (15704 ÷ 8 = 1963) | 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 7) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 15704 a prime number?
No. 15704 = × 13 × 151, so it is divisible by 2.
What are the factors of 15704?
1, 2, 4, 8, 13, 26, 52, 104, 151, 302, 604, 1208, 1963, 3926, 7852, 15704.
What is 15704 in binary?
11110101011000 (hexadecimal 3D58, octal 36530).
What is the square root of 15704?
About 125.3156, exactly 2√3926.
Is 15704 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 15704?
15704 is a happy number: repeatedly adding the squares of its digits reaches 1.