The number 23387
23387 is a composite number with 8 divisors. Its prime factorisation is 7 × 13 × 257. Divisors (8): 1, 7, 13, 91, 257, 1799, 3341, 23387.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
23387 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
23387 is composite. Its prime factorisation is
- 3
The divisors add up to 28896; without 23387 itself that is 5509, so 23387 is deficient (5509 is less than 23387). Euler's totient φ(23387) = 18432 numbers up to 23387 share no factor with it.
- 4
The digits of 23387 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 82 steps to reach 1.
LaTeX source of the formulas on this page
\[ 23387 = 7 \times 13 \times 257 \]
23387 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 28896 |
| Euler totient φ(n) | 18432 |
| Square | 546951769 |
| Cube | 12791561021603 |
| Square root | 152.928088 |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 82 |
| Scientific notation | 2.3387 × |
23387 in other forms
| Form | Value |
|---|---|
| In words | twenty-three thousand three hundred and eighty-seven |
| Binary (base 2) | 101101101011011 |
| Octal (base 8) | 55533 |
| Hexadecimal (base 16) | 5B5B |
| Base 3 | 1012002012 |
| As time | 23387 seconds = 6 h 29 min 47 s |
Is 23387 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 | No (remainder 2) | 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 5) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (23387 ÷ 7 = 3341) | 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 5) | 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 1) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 11) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 23387 a prime number?
No. 23387 = 7 × 13 × 257, so it is divisible by 7.
What are the factors of 23387?
1, 7, 13, 91, 257, 1799, 3341, 23387.
What is 23387 in binary?
101101101011011 (hexadecimal 5B5B, octal 55533).
What is the square root of 23387?
About 152.9281.
Is 23387 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 23387?
It is a composite number with 8 divisors.