The number 23375
23375 is a composite number with 16 divisors. Its prime factorisation is × 11 × 17. Divisors (16): 1, 5, 11, 17, 25, 55, 85, 125, 187, 275, 425, 935, 1375, 2125, 4675, 23375.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
23375 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
23375 is composite. Its prime factorisation is
- 3
The divisors add up to 33696; without 23375 itself that is 10321, so 23375 is deficient (10321 is less than 23375). Euler's totient φ(23375) = 16000 numbers up to 23375 share no factor with it.
- 4
The digits of 23375 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 69 steps to reach 1.
LaTeX source of the formulas on this page
\[ 23375 = 5^{3} \times 11 \times 17 \]23375 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 33696 |
| Euler totient φ(n) | 16000 |
| Square | 546390625 |
| Cube | 12771880859375 |
| Square root | 152.888849 (= 5√935) |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 69 |
| Scientific notation | 2.3375 × |
23375 in other forms
| Form | Value |
|---|---|
| In words | twenty-three thousand three hundred and seventy-five |
| Binary (base 2) | 101101101001111 |
| Octal (base 8) | 55517 |
| Hexadecimal (base 16) | 5B4F |
| Base 3 | 1012001202 |
| As time | 23375 seconds = 6 h 29 min 35 s |
Is 23375 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 | Yes (23375 ÷ 5 = 4675) | 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 | No (remainder 2) | 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 7) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 2) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 5) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (23375 ÷ 11 = 2125) | 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 23375 a prime number?
No. 23375 = × 11 × 17, so it is divisible by 5.
What are the factors of 23375?
1, 5, 11, 17, 25, 55, 85, 125, 187, 275, 425, 935, 1375, 2125, 4675, 23375.
What is 23375 in binary?
101101101001111 (hexadecimal 5B4F, octal 55517).
What is the square root of 23375?
About 152.8888, exactly 5√935.
Is 23375 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 23375?
It is a composite number with 16 divisors.