The number 23348
23348 is a composite number with 12 divisors. Its prime factorisation is × 13 × 449. Divisors (12): 1, 2, 4, 13, 26, 52, 449, 898, 1796, 5837, 11674, 23348.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
23348 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
23348 is composite. Its prime factorisation is
- 3
The divisors add up to 44100; without 23348 itself that is 20752, so 23348 is deficient (20752 is less than 23348). Euler's totient φ(23348) = 10752 numbers up to 23348 share no factor with it.
- 4
The digits of 23348 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 38 steps to reach 1.
LaTeX source of the formulas on this page
\[ 23348 = 2^{2} \times 13 \times 449 \]23348 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 44100 |
| Euler totient φ(n) | 10752 |
| Square | 545129104 |
| Cube | 12727674320192 |
| Square root | 152.800524 (= 2√5837) |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 38 |
| Scientific notation | 2.3348 × |
23348 in other forms
| Form | Value |
|---|---|
| In words | twenty-three thousand three hundred and forty-eight |
| Binary (base 2) | 101101100110100 |
| Octal (base 8) | 55464 |
| Hexadecimal (base 16) | 5B34 |
| Base 3 | 1012000202 |
| As time | 23348 seconds = 6 h 29 min 8 s |
Is 23348 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (23348 ÷ 2 = 11674) | 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 (23348 ÷ 4 = 5837) | 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 | No (remainder 3) | 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 2) | 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 6) | 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 23348 a prime number?
No. 23348 = × 13 × 449, so it is divisible by 2.
What are the factors of 23348?
1, 2, 4, 13, 26, 52, 449, 898, 1796, 5837, 11674, 23348.
What is 23348 in binary?
101101100110100 (hexadecimal 5B34, octal 55464).
What is the square root of 23348?
About 152.8005, exactly 2√5837.
Is 23348 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 23348?
It is a composite number with 12 divisors.