The number 23072
23072 is a composite number with 24 divisors. Its prime factorisation is × 7 × 103. Divisors (24): 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 103, 112, 206, 224, 412, 721 … 23072.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 23072: a Harshad number: divisible by its digit sum 14.
- 2
23072 is composite. Its prime factorisation is
- 3
The divisors add up to 52416; without 23072 itself that is 29344, so 23072 is abundant (29344 is more than 23072). Euler's totient φ(23072) = 9792 numbers up to 23072 share no factor with it.
- 4
The digits of 23072 add up to 14, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 51 steps to reach 1.
LaTeX source of the formulas on this page
\[ 23072 = 2^{5} \times 7 \times 103 \]23072 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 52416 |
| Euler totient φ(n) | 9792 |
| Square | 532317184 |
| Cube | 12281622069248 |
| Square root | 151.894700 (= 4√1442) |
| Digit sum / digital root | 14 / 5 |
| Collatz steps to 1 | 51 |
| Scientific notation | 2.3072 × |
23072 in other forms
| Form | Value |
|---|---|
| In words | twenty-three thousand and seventy-two |
| Binary (base 2) | 101101000100000 |
| Octal (base 8) | 55040 |
| Hexadecimal (base 16) | 5A20 |
| Base 3 | 1011122112 |
| As time | 23072 seconds = 6 h 24 min 32 s |
Is 23072 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (23072 ÷ 2 = 11536) | 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 (23072 ÷ 4 = 5768) | 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 | Yes (23072 ÷ 7 = 3296) | 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 (23072 ÷ 8 = 2884) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 5) | 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 5) | 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 23072 a prime number?
No. 23072 = × 7 × 103, so it is divisible by 2.
What are the factors of 23072?
1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 103, 112, 206, 224, 412, 721, 824, 1442, 1648, 2884, 3296, 5768, 11536, 23072.
What is 23072 in binary?
101101000100000 (hexadecimal 5A20, octal 55040).
What is the square root of 23072?
About 151.8947, exactly 4√1442.
Is 23072 divisible by 3?
No. Its digits add up to 14, which is not a multiple of 3.
What is special about the number 23072?
23072 is a Harshad number: divisible by its digit sum 14.