The number 15768
15768 is a composite number with 32 divisors. Its prime factorisation is × × 73. Divisors (32): 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 73, 108 … 15768.
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How to work it out
- 1
What is special about 15768: a Harshad number: divisible by its digit sum 27.
- 2
15768 is composite. Its prime factorisation is
- 3
The divisors add up to 44400; without 15768 itself that is 28632, so 15768 is abundant (28632 is more than 15768). Euler's totient φ(15768) = 5184 numbers up to 15768 share no factor with it.
- 4
The digits of 15768 add up to 27, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 27 steps to reach 1.
LaTeX source of the formulas on this page
\[ 15768 = 2^{3} \times 3^{3} \times 73 \]15768 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 44400 |
| Euler totient φ(n) | 5184 |
| Square | 248629824 |
| Cube | 3920395064832 |
| Square root | 125.570697 (= 6√438) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 27 |
| Scientific notation | 1.5768 × |
15768 in other forms
| Form | Value |
|---|---|
| In words | fifteen thousand seven hundred and sixty-eight |
| Binary (base 2) | 11110110011000 |
| Octal (base 8) | 36630 |
| Hexadecimal (base 16) | 3D98 |
| Base 3 | 210122000 |
| As time | 15768 seconds = 4 h 22 min 48 s |
Is 15768 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (15768 ÷ 2 = 7884) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (15768 ÷ 3 = 5256) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (15768 ÷ 4 = 3942) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 3) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (15768 ÷ 6 = 2628) | 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 | Yes (15768 ÷ 8 = 1971) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (15768 ÷ 9 = 1752) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 8) | 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 | Yes (15768 ÷ 12 = 1314) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 15768 a prime number?
No. 15768 = × × 73, so it is divisible by 2.
What are the factors of 15768?
1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 73, 108, 146, 216, 219, 292, 438, 584, 657, 876, 1314, 1752, 1971, 2628, 3942, 5256, 7884, 15768.
What is 15768 in binary?
11110110011000 (hexadecimal 3D98, octal 36630).
What is the square root of 15768?
About 125.5707, exactly 6√438.
Is 15768 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 15768?
15768 is a Harshad number: divisible by its digit sum 27.