The number 23828
23828 is a composite number with 24 divisors. Its prime factorisation is × 7 × 23 × 37. Divisors (24): 1, 2, 4, 7, 14, 23, 28, 37, 46, 74, 92, 148, 161, 259, 322, 518 … 23828.
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How to work it out
- 1
What is special about 23828: a Harshad number: divisible by its digit sum 23.
- 2
23828 is composite. Its prime factorisation is
- 3
The divisors add up to 51072; without 23828 itself that is 27244, so 23828 is abundant (27244 is more than 23828). Euler's totient φ(23828) = 9504 numbers up to 23828 share no factor with it.
- 4
The digits of 23828 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 51 steps to reach 1.
LaTeX source of the formulas on this page
\[ 23828 = 2^{2} \times 7 \times 23 \times 37 \]23828 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 51072 |
| Euler totient φ(n) | 9504 |
| Square | 567773584 |
| Cube | 13528908959552 |
| Square root | 154.363208 (= 2√5957) |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 51 |
| Scientific notation | 2.3828 × |
23828 in other forms
| Form | Value |
|---|---|
| In words | twenty-three thousand eight hundred and twenty-eight |
| Binary (base 2) | 101110100010100 |
| Octal (base 8) | 56424 |
| Hexadecimal (base 16) | 5D14 |
| Base 3 | 1012200112 |
| As time | 23828 seconds = 6 h 37 min 8 s |
Is 23828 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (23828 ÷ 2 = 11914) | 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 | Yes (23828 ÷ 4 = 5957) | 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 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (23828 ÷ 7 = 3404) | 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 5) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 8) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 2) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 23828 a prime number?
No. 23828 = × 7 × 23 × 37, so it is divisible by 2.
What are the factors of 23828?
1, 2, 4, 7, 14, 23, 28, 37, 46, 74, 92, 148, 161, 259, 322, 518, 644, 851, 1036, 1702, 3404, 5957, 11914, 23828.
What is 23828 in binary?
101110100010100 (hexadecimal 5D14, octal 56424).
What is the square root of 23828?
About 154.3632, exactly 2√5957.
Is 23828 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 23828?
23828 is a Harshad number: divisible by its digit sum 23.