The number 72448
72448 is a composite number with 18 divisors. Its prime factorisation is × 283. Divisors (18): 1, 2, 4, 8, 16, 32, 64, 128, 256, 283, 566, 1132, 2264, 4528, 9056, 18112 … 72448.
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How to work it out
- 1
72448 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
72448 is composite. Its prime factorisation is
- 3
The divisors add up to 145124; without 72448 itself that is 72676, so 72448 is abundant (72676 is more than 72448). Euler's totient φ(72448) = 36096 numbers up to 72448 share no factor with it.
- 4
The digits of 72448 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 68 steps to reach 1.
LaTeX source of the formulas on this page
\[ 72448 = 2^{8} \times 283 \]72448 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 18 |
| Sum of divisors | 145124 |
| Euler totient φ(n) | 36096 |
| Square | 5248712704 |
| Cube | 380258737979392 |
| Square root | 269.161661 (= 16√283) |
| Digit sum / digital root | 25 / 7 |
| Collatz steps to 1 | 68 |
| Scientific notation | 7.2448 × |
72448 in other forms
| Form | Value |
|---|---|
| In words | seventy-two thousand four hundred and forty-eight |
| Binary (base 2) | 10001101100000000 |
| Octal (base 8) | 215400 |
| Hexadecimal (base 16) | 11B00 |
| Base 3 | 10200101021 |
| As time | 72448 seconds = 20 h 7 min 28 s |
Is 72448 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (72448 ÷ 2 = 36224) | 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 (72448 ÷ 4 = 18112) | 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 5) | 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 (72448 ÷ 8 = 9056) | 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 2) | 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 72448 a prime number?
No. 72448 = × 283, so it is divisible by 2.
What are the factors of 72448?
1, 2, 4, 8, 16, 32, 64, 128, 256, 283, 566, 1132, 2264, 4528, 9056, 18112, 36224, 72448.
What is 72448 in binary?
10001101100000000 (hexadecimal 11B00, octal 215400).
What is the square root of 72448?
About 269.1617, exactly 16√283.
Is 72448 divisible by 3?
No. Its digits add up to 25, which is not a multiple of 3.
What is special about the number 72448?
It is a composite number with 18 divisors.