The number 23188
23188 is a composite number with 24 divisors. Its prime factorisation is × 11 × 17 × 31. Divisors (24): 1, 2, 4, 11, 17, 22, 31, 34, 44, 62, 68, 124, 187, 341, 374, 527 … 23188.
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How to work it out
- 1
What is special about 23188: a Harshad number: divisible by its digit sum 22.
- 2
23188 is composite. Its prime factorisation is
- 3
The divisors add up to 48384; without 23188 itself that is 25196, so 23188 is abundant (25196 is more than 23188). Euler's totient φ(23188) = 9600 numbers up to 23188 share no factor with it.
- 4
The digits of 23188 add up to 22, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 144 steps to reach 1.
LaTeX source of the formulas on this page
\[ 23188 = 2^{2} \times 11 \times 17 \times 31 \]23188 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 48384 |
| Euler totient φ(n) | 9600 |
| Square | 537683344 |
| Cube | 12467801380672 |
| Square root | 152.276065 (= 2√5797) |
| Digit sum / digital root | 22 / 4 |
| Collatz steps to 1 | 144 |
| Scientific notation | 2.3188 × |
23188 in other forms
| Form | Value |
|---|---|
| In words | twenty-three thousand one hundred and eighty-eight |
| Binary (base 2) | 101101010010100 |
| Octal (base 8) | 55224 |
| Hexadecimal (base 16) | 5A94 |
| Base 3 | 1011210211 |
| As time | 23188 seconds = 6 h 26 min 28 s |
Is 23188 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (23188 ÷ 2 = 11594) | 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 (23188 ÷ 4 = 5797) | 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 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 4) | 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 4) | 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 | Yes (23188 ÷ 11 = 2108) | 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 23188 a prime number?
No. 23188 = × 11 × 17 × 31, so it is divisible by 2.
What are the factors of 23188?
1, 2, 4, 11, 17, 22, 31, 34, 44, 62, 68, 124, 187, 341, 374, 527, 682, 748, 1054, 1364, 2108, 5797, 11594, 23188.
What is 23188 in binary?
101101010010100 (hexadecimal 5A94, octal 55224).
What is the square root of 23188?
About 152.2761, exactly 2√5797.
Is 23188 divisible by 3?
No. Its digits add up to 22, which is not a multiple of 3.
What is special about the number 23188?
23188 is a Harshad number: divisible by its digit sum 22.