The number 23488
23488 is a composite number with 14 divisors. Its prime factorisation is × 367. Divisors (14): 1, 2, 4, 8, 16, 32, 64, 367, 734, 1468, 2936, 5872, 11744, 23488.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
23488 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
23488 is composite. Its prime factorisation is
- 3
The divisors add up to 46736; without 23488 itself that is 23248, so 23488 is deficient (23248 is less than 23488). Euler's totient φ(23488) = 11712 numbers up to 23488 share no factor with it.
- 4
The digits of 23488 add up to 25, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 51 steps to reach 1.
LaTeX source of the formulas on this page
\[ 23488 = 2^{6} \times 367 \]23488 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 14 |
| Sum of divisors | 46736 |
| Euler totient φ(n) | 11712 |
| Square | 551686144 |
| Cube | 12958004150272 |
| Square root | 153.257952 (= 8√367) |
| Digit sum / digital root | 25 / 7 |
| Collatz steps to 1 | 51 |
| Scientific notation | 2.3488 × |
23488 in other forms
| Form | Value |
|---|---|
| In words | twenty-three thousand four hundred and eighty-eight |
| Binary (base 2) | 101101111000000 |
| Octal (base 8) | 55700 |
| Hexadecimal (base 16) | 5BC0 |
| Base 3 | 1012012221 |
| As time | 23488 seconds = 6 h 31 min 28 s |
Is 23488 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (23488 ÷ 2 = 11744) | 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 (23488 ÷ 4 = 5872) | 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 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 | Yes (23488 ÷ 8 = 2936) | 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 8) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 3) | 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 23488 a prime number?
No. 23488 = × 367, so it is divisible by 2.
What are the factors of 23488?
1, 2, 4, 8, 16, 32, 64, 367, 734, 1468, 2936, 5872, 11744, 23488.
What is 23488 in binary?
101101111000000 (hexadecimal 5BC0, octal 55700).
What is the square root of 23488?
About 153.2580, exactly 8√367.
Is 23488 divisible by 3?
No. Its digits add up to 25, which is not a multiple of 3.
What is special about the number 23488?
It is a composite number with 14 divisors.