The number 46448
46448 is a composite number with 10 divisors. Its prime factorisation is × 2903. Divisors (10): 1, 2, 4, 8, 16, 2903, 5806, 11612, 23224, 46448.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
46448 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
46448 is composite. Its prime factorisation is
- 3
The divisors add up to 90024; without 46448 itself that is 43576, so 46448 is deficient (43576 is less than 46448). Euler's totient φ(46448) = 23216 numbers up to 46448 share no factor with it.
- 4
The digits of 46448 add up to 26, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 145 steps to reach 1.
LaTeX source of the formulas on this page
\[ 46448 = 2^{4} \times 2903 \]46448 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 10 |
| Sum of divisors | 90024 |
| Euler totient φ(n) | 23216 |
| Square | 2157416704 |
| Cube | 100207691067392 |
| Square root | 215.517981 (= 4√2903) |
| Digit sum / digital root | 26 / 8 |
| Collatz steps to 1 | 145 |
| Scientific notation | 4.6448 × |
46448 in other forms
| Form | Value |
|---|---|
| In words | forty-six thousand four hundred and forty-eight |
| Binary (base 2) | 1011010101110000 |
| Octal (base 8) | 132560 |
| Hexadecimal (base 16) | B570 |
| Base 3 | 2100201022 |
| As time | 46448 seconds = 12 h 54 min 8 s |
Is 46448 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (46448 ÷ 2 = 23224) | 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 (46448 ÷ 4 = 11612) | 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 | Yes (46448 ÷ 8 = 5806) | 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 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 46448 a prime number?
No. 46448 = × 2903, so it is divisible by 2.
What are the factors of 46448?
1, 2, 4, 8, 16, 2903, 5806, 11612, 23224, 46448.
What is 46448 in binary?
1011010101110000 (hexadecimal B570, octal 132560).
What is the square root of 46448?
About 215.5180, exactly 4√2903.
Is 46448 divisible by 3?
No. Its digits add up to 26, which is not a multiple of 3.
What is special about the number 46448?
It is a composite number with 10 divisors.