The number 23500
23500 is a composite number with 24 divisors. Its prime factorisation is × × 47. Divisors (24): 1, 2, 4, 5, 10, 20, 25, 47, 50, 94, 100, 125, 188, 235, 250, 470 … 23500.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 23500: a Harshad number: divisible by its digit sum 10.
- 2
23500 is composite. Its prime factorisation is
- 3
The divisors add up to 52416; without 23500 itself that is 28916, so 23500 is abundant (28916 is more than 23500). Euler's totient φ(23500) = 9200 numbers up to 23500 share no factor with it.
- 4
The digits of 23500 add up to 10, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 56 steps to reach 1.
LaTeX source of the formulas on this page
\[ 23500 = 2^{2} \times 5^{3} \times 47 \]23500 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 52416 |
| Euler totient φ(n) | 9200 |
| Square | 552250000 |
| Cube | 12977875000000 |
| Square root | 153.297097 (= 10√235) |
| Digit sum / digital root | 10 / 1 |
| Collatz steps to 1 | 56 |
| Scientific notation | 2.35 × |
23500 in other forms
| Form | Value |
|---|---|
| In words | twenty-three thousand five hundred |
| Binary (base 2) | 101101111001100 |
| Octal (base 8) | 55714 |
| Hexadecimal (base 16) | 5BCC |
| Base 3 | 1012020101 |
| As time | 23500 seconds = 6 h 31 min 40 s |
Is 23500 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (23500 ÷ 2 = 11750) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 1) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (23500 ÷ 4 = 5875) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (23500 ÷ 5 = 4700) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 1) | 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 | No (remainder 1) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (23500 ÷ 10 = 2350) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 4) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 23500 a prime number?
No. 23500 = × × 47, so it is divisible by 2.
What are the factors of 23500?
1, 2, 4, 5, 10, 20, 25, 47, 50, 94, 100, 125, 188, 235, 250, 470, 500, 940, 1175, 2350, 4700, 5875, 11750, 23500.
What is 23500 in binary?
101101111001100 (hexadecimal 5BCC, octal 55714).
What is the square root of 23500?
About 153.2971, exactly 10√235.
Is 23500 divisible by 3?
No. Its digits add up to 10, which is not a multiple of 3.
What is special about the number 23500?
23500 is a Harshad number: divisible by its digit sum 10.