The number 15873
15873 is a composite number with 16 divisors. Its prime factorisation is 3 × 11 × 13 × 37. Divisors (16): 1, 3, 11, 13, 33, 37, 39, 111, 143, 407, 429, 481, 1221, 1443, 5291, 15873.
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How to work it out
- 1
15873 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
15873 is composite. Its prime factorisation is
- 3
The divisors add up to 25536; without 15873 itself that is 9663, so 15873 is deficient (9663 is less than 15873). Euler's totient φ(15873) = 8640 numbers up to 15873 share no factor with it.
- 4
The digits of 15873 add up to 24, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 102 steps to reach 1.
LaTeX source of the formulas on this page
\[ 15873 = 3 \times 11 \times 13 \times 37 \]
15873 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 25536 |
| Euler totient φ(n) | 8640 |
| Square | 251952129 |
| Cube | 3999236143617 |
| Square root | 125.988095 |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 102 |
| Scientific notation | 1.5873 × |
15873 in other forms
| Form | Value |
|---|---|
| In words | fifteen thousand eight hundred and seventy-three |
| Binary (base 2) | 11111000000001 |
| Octal (base 8) | 37001 |
| Hexadecimal (base 16) | 3E01 |
| Base 3 | 210202220 |
| As time | 15873 seconds = 4 h 24 min 33 s |
Is 15873 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (15873 ÷ 3 = 5291) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 1) | 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 | No (remainder 3) | 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 | No (remainder 1) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 6) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 3) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (15873 ÷ 11 = 1443) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 15873 a prime number?
No. 15873 = 3 × 11 × 13 × 37, so it is divisible by 3.
What are the factors of 15873?
1, 3, 11, 13, 33, 37, 39, 111, 143, 407, 429, 481, 1221, 1443, 5291, 15873.
What is 15873 in binary?
11111000000001 (hexadecimal 3E01, octal 37001).
What is the square root of 15873?
About 125.9881.
Is 15873 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 15873?
It is a composite number with 16 divisors.