The number 15876
15876 is a perfect square (126²). Its prime factorisation is × × . Divisors (45): 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 49 … 15876.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 15876: a perfect square (126²); a Harshad number: divisible by its digit sum 27.
- 2
15876 is composite. Its prime factorisation is
- 3
The divisors add up to 48279; without 15876 itself that is 32403, so 15876 is abundant (32403 is more than 15876). Euler's totient φ(15876) = 4536 numbers up to 15876 share no factor with it.
- 4
The digits of 15876 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 146 steps to reach 1.
LaTeX source of the formulas on this page
\[ 15876 = 2^{2} \times 3^{4} \times 7^{2} \]15876 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 45 |
| Sum of divisors | 48279 |
| Euler totient φ(n) | 4536 |
| Square | 252047376 |
| Cube | 4001504141376 |
| Square root | 126 |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 146 |
| Scientific notation | 1.5876 × |
| Perfect power |
15876 in other forms
| Form | Value |
|---|---|
| In words | fifteen thousand eight hundred and seventy-six |
| Binary (base 2) | 11111000000100 |
| Octal (base 8) | 37004 |
| Hexadecimal (base 16) | 3E04 |
| Base 3 | 210210000 |
| As time | 15876 seconds = 4 h 24 min 36 s |
Is 15876 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (15876 ÷ 2 = 7938) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (15876 ÷ 3 = 5292) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (15876 ÷ 4 = 3969) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 1) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (15876 ÷ 6 = 2646) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (15876 ÷ 7 = 2268) | 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 | Yes (15876 ÷ 9 = 1764) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 6) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 3) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (15876 ÷ 12 = 1323) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 15876 a prime number?
No. 15876 = × × , so it is divisible by 2.
What are the factors of 15876?
1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 49, 54, 63, 81, 84, 98, 108, 126, 147, 162, 189, 196, 252, 294, 324, 378, 441, 567, 588, 756, 882, 1134, 1323, 1764, 2268, 2646, 3969, 5292, 7938, 15876.
What is 15876 in binary?
11111000000100 (hexadecimal 3E04, octal 37004).
What is the square root of 15876?
126, because 126 × 126 = 15876.
Is 15876 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 15876?
15876 is a perfect square (126²); a Harshad number: divisible by its digit sum 27.