The number 15764
15764 is a composite number with 12 divisors. Its prime factorisation is × 7 × 563. Divisors (12): 1, 2, 4, 7, 14, 28, 563, 1126, 2252, 3941, 7882, 15764.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
15764 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
15764 is composite. Its prime factorisation is
- 3
The divisors add up to 31584; without 15764 itself that is 15820, so 15764 is abundant (15820 is more than 15764). Euler's totient φ(15764) = 6744 numbers up to 15764 share no factor with it.
- 4
The digits of 15764 add up to 23, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 27 steps to reach 1.
LaTeX source of the formulas on this page
\[ 15764 = 2^{2} \times 7 \times 563 \]15764 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 31584 |
| Euler totient φ(n) | 6744 |
| Square | 248503696 |
| Cube | 3917412263744 |
| Square root | 125.554769 (= 2√3941) |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 27 |
| Scientific notation | 1.5764 × |
15764 in other forms
| Form | Value |
|---|---|
| In words | fifteen thousand seven hundred and sixty-four |
| Binary (base 2) | 11110110010100 |
| Octal (base 8) | 36624 |
| Hexadecimal (base 16) | 3D94 |
| Base 3 | 210121212 |
| As time | 15764 seconds = 4 h 22 min 44 s |
Is 15764 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (15764 ÷ 2 = 7882) | 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 (15764 ÷ 4 = 3941) | 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 | Yes (15764 ÷ 7 = 2252) | 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 4) | 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 1) | 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 15764 a prime number?
No. 15764 = × 7 × 563, so it is divisible by 2.
What are the factors of 15764?
1, 2, 4, 7, 14, 28, 563, 1126, 2252, 3941, 7882, 15764.
What is 15764 in binary?
11110110010100 (hexadecimal 3D94, octal 36624).
What is the square root of 15764?
About 125.5548, exactly 2√3941.
Is 15764 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 15764?
It is a composite number with 12 divisors.