The number 48026
48026 is a composite number with 16 divisors. Its prime factorisation is 2 × 11 × 37 × 59. Divisors (16): 1, 2, 11, 22, 37, 59, 74, 118, 407, 649, 814, 1298, 2183, 4366, 24013, 48026.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
48026 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
48026 is composite. Its prime factorisation is
- 3
The divisors add up to 82080; without 48026 itself that is 34054, so 48026 is deficient (34054 is less than 48026). Euler's totient φ(48026) = 20880 numbers up to 48026 share no factor with it.
- 4
The digits of 48026 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 44 steps to reach 1.
LaTeX source of the formulas on this page
\[ 48026 = 2 \times 11 \times 37 \times 59 \]
48026 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 82080 |
| Euler totient φ(n) | 20880 |
| Square | 2306496676 |
| Cube | 110771809361576 |
| Square root | 219.148352 |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 44 |
| Scientific notation | 4.8026 × |
48026 in other forms
| Form | Value |
|---|---|
| In words | forty-eight thousand and twenty-six |
| Binary (base 2) | 1011101110011010 |
| Octal (base 8) | 135632 |
| Hexadecimal (base 16) | BB9A |
| Base 3 | 2102212202 |
| As time | 48026 seconds = 13 h 20 min 26 s |
Is 48026 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (48026 ÷ 2 = 24013) | 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 | No (remainder 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 1) | 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 6) | 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 | No (remainder 2) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 2) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 6) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (48026 ÷ 11 = 4366) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 2) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 48026 a prime number?
No. 48026 = 2 × 11 × 37 × 59, so it is divisible by 2.
What are the factors of 48026?
1, 2, 11, 22, 37, 59, 74, 118, 407, 649, 814, 1298, 2183, 4366, 24013, 48026.
What is 48026 in binary?
1011101110011010 (hexadecimal BB9A, octal 135632).
What is the square root of 48026?
About 219.1484.
Is 48026 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 48026?
It is a composite number with 16 divisors.