The number 23552
23552 is a composite number with 22 divisors. Its prime factorisation is × 23. Divisors (22): 1, 2, 4, 8, 16, 23, 32, 46, 64, 92, 128, 184, 256, 368, 512, 736 … 23552.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
23552 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
23552 is composite. Its prime factorisation is
- 3
The divisors add up to 49128; without 23552 itself that is 25576, so 23552 is abundant (25576 is more than 23552). Euler's totient φ(23552) = 11264 numbers up to 23552 share no factor with it.
- 4
The digits of 23552 add up to 17, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 25 steps to reach 1.
LaTeX source of the formulas on this page
\[ 23552 = 2^{10} \times 23 \]23552 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 22 |
| Sum of divisors | 49128 |
| Euler totient φ(n) | 11264 |
| Square | 554696704 |
| Cube | 13064216772608 |
| Square root | 153.466609 (= 32√23) |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 25 |
| Scientific notation | 2.3552 × |
23552 in other forms
| Form | Value |
|---|---|
| In words | twenty-three thousand five hundred and fifty-two |
| Binary (base 2) | 101110000000000 |
| Octal (base 8) | 56000 |
| Hexadecimal (base 16) | 5C00 |
| Base 3 | 1012022022 |
| As time | 23552 seconds = 6 h 32 min 32 s |
Is 23552 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (23552 ÷ 2 = 11776) | 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 (23552 ÷ 4 = 5888) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 2) | 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 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 | Yes (23552 ÷ 8 = 2944) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 8) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 2) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 1) | 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 23552 a prime number?
No. 23552 = × 23, so it is divisible by 2.
What are the factors of 23552?
1, 2, 4, 8, 16, 23, 32, 46, 64, 92, 128, 184, 256, 368, 512, 736, 1024, 1472, 2944, 5888, 11776, 23552.
What is 23552 in binary?
101110000000000 (hexadecimal 5C00, octal 56000).
What is the square root of 23552?
About 153.4666, exactly 32√23.
Is 23552 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 23552?
It is a composite number with 22 divisors.