The number 23187
23187 is a composite number with 8 divisors. Its prime factorisation is 3 × 59 × 131. Divisors (8): 1, 3, 59, 131, 177, 393, 7729, 23187.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
23187 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
23187 is composite. Its prime factorisation is
- 3
The divisors add up to 31680; without 23187 itself that is 8493, so 23187 is deficient (8493 is less than 23187). Euler's totient φ(23187) = 15080 numbers up to 23187 share no factor with it.
- 4
The digits of 23187 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 188 steps to reach 1.
LaTeX source of the formulas on this page
\[ 23187 = 3 \times 59 \times 131 \]
23187 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 31680 |
| Euler totient φ(n) | 15080 |
| Square | 537636969 |
| Cube | 12466188400203 |
| Square root | 152.272782 |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 188 |
| Scientific notation | 2.3187 × |
23187 in other forms
| Form | Value |
|---|---|
| In words | twenty-three thousand one hundred and eighty-seven |
| Binary (base 2) | 101101010010011 |
| Octal (base 8) | 55223 |
| Hexadecimal (base 16) | 5A93 |
| Base 3 | 1011210210 |
| As time | 23187 seconds = 6 h 26 min 27 s |
Is 23187 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 (23187 ÷ 3 = 7729) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 3) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 2) | 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 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 | No (remainder 3) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 3) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 7) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 10) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 3) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 23187 a prime number?
No. 23187 = 3 × 59 × 131, so it is divisible by 3.
What are the factors of 23187?
1, 3, 59, 131, 177, 393, 7729, 23187.
What is 23187 in binary?
101101010010011 (hexadecimal 5A93, octal 55223).
What is the square root of 23187?
About 152.2728.
Is 23187 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 23187?
It is a composite number with 8 divisors.