The number 48433
48433 is a composite number with 16 divisors. Its prime factorisation is 7 × 11 × 17 × 37. Divisors (16): 1, 7, 11, 17, 37, 77, 119, 187, 259, 407, 629, 1309, 2849, 4403, 6919, 48433.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
48433 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
48433 is composite. Its prime factorisation is
- 3
The divisors add up to 65664; without 48433 itself that is 17231, so 48433 is deficient (17231 is less than 48433). Euler's totient φ(48433) = 34560 numbers up to 48433 share no factor with it.
- 4
The digits of 48433 add up to 22, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 101 steps to reach 1.
LaTeX source of the formulas on this page
\[ 48433 = 7 \times 11 \times 17 \times 37 \]
48433 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 65664 |
| Euler totient φ(n) | 34560 |
| Square | 2345755489 |
| Cube | 113611975598737 |
| Square root | 220.074987 |
| Digit sum / digital root | 22 / 4 |
| Collatz steps to 1 | 101 |
| Scientific notation | 4.8433 × |
48433 in other forms
| Form | Value |
|---|---|
| In words | forty-eight thousand four hundred and thirty-three |
| Binary (base 2) | 1011110100110001 |
| Octal (base 8) | 136461 |
| Hexadecimal (base 16) | BD31 |
| Base 3 | 2110102211 |
| As time | 48433 seconds = 13 h 27 min 13 s |
Is 48433 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | 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 | No (remainder 1) | 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 1) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (48433 ÷ 7 = 6919) | 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 1) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 4) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 3) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (48433 ÷ 11 = 4403) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 1) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 48433 a prime number?
No. 48433 = 7 × 11 × 17 × 37, so it is divisible by 7.
What are the factors of 48433?
1, 7, 11, 17, 37, 77, 119, 187, 259, 407, 629, 1309, 2849, 4403, 6919, 48433.
What is 48433 in binary?
1011110100110001 (hexadecimal BD31, octal 136461).
What is the square root of 48433?
About 220.0750.
Is 48433 divisible by 3?
No. Its digits add up to 22, which is not a multiple of 3.
What is special about the number 48433?
It is a composite number with 16 divisors.