The number 23443
23443 is a composite number with 8 divisors. Its prime factorisation is 7 × 17 × 197. Divisors (8): 1, 7, 17, 119, 197, 1379, 3349, 23443.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
23443 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
23443 is composite. Its prime factorisation is
- 3
The divisors add up to 28512; without 23443 itself that is 5069, so 23443 is deficient (5069 is less than 23443). Euler's totient φ(23443) = 18816 numbers up to 23443 share no factor with it.
- 4
The digits of 23443 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 131 steps to reach 1.
LaTeX source of the formulas on this page
\[ 23443 = 7 \times 17 \times 197 \]
23443 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 28512 |
| Euler totient φ(n) | 18816 |
| Square | 549574249 |
| Cube | 12883669119307 |
| Square root | 153.111071 |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 131 |
| Scientific notation | 2.3443 × |
23443 in other forms
| Form | Value |
|---|---|
| In words | twenty-three thousand four hundred and forty-three |
| Binary (base 2) | 101101110010011 |
| Octal (base 8) | 55623 |
| Hexadecimal (base 16) | 5B93 |
| Base 3 | 1012011021 |
| As time | 23443 seconds = 6 h 30 min 43 s |
Is 23443 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 1) | 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 3) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 1) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (23443 ÷ 7 = 3349) | 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 7) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 3) | 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 7) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 23443 a prime number?
No. 23443 = 7 × 17 × 197, so it is divisible by 7.
What are the factors of 23443?
1, 7, 17, 119, 197, 1379, 3349, 23443.
What is 23443 in binary?
101101110010011 (hexadecimal 5B93, octal 55623).
What is the square root of 23443?
About 153.1111.
Is 23443 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 23443?
It is a composite number with 8 divisors.