The number 48034
48034 is a composite number with 16 divisors. Its prime factorisation is 2 × 7 × 47 × 73. Divisors (16): 1, 2, 7, 14, 47, 73, 94, 146, 329, 511, 658, 1022, 3431, 6862, 24017, 48034.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
48034 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
48034 is composite. Its prime factorisation is
- 3
The divisors add up to 85248; without 48034 itself that is 37214, so 48034 is deficient (37214 is less than 48034). Euler's totient φ(48034) = 19872 numbers up to 48034 share no factor with it.
- 4
The digits of 48034 add up to 19, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 44 steps to reach 1.
LaTeX source of the formulas on this page
\[ 48034 = 2 \times 7 \times 47 \times 73 \]
48034 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 85248 |
| Euler totient φ(n) | 19872 |
| Square | 2307265156 |
| Cube | 110827174503304 |
| Square root | 219.166603 |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 44 |
| Scientific notation | 4.8034 × |
48034 in other forms
| Form | Value |
|---|---|
| In words | forty-eight thousand and thirty-four |
| Binary (base 2) | 1011101110100010 |
| Octal (base 8) | 135642 |
| Hexadecimal (base 16) | BBA2 |
| Base 3 | 2102220001 |
| As time | 48034 seconds = 13 h 20 min 34 s |
Is 48034 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (48034 ÷ 2 = 24017) | 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 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 4) | 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 | Yes (48034 ÷ 7 = 6862) | 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 1) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 4) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 8) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 10) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 48034 a prime number?
No. 48034 = 2 × 7 × 47 × 73, so it is divisible by 2.
What are the factors of 48034?
1, 2, 7, 14, 47, 73, 94, 146, 329, 511, 658, 1022, 3431, 6862, 24017, 48034.
What is 48034 in binary?
1011101110100010 (hexadecimal BBA2, octal 135642).
What is the square root of 48034?
About 219.1666.
Is 48034 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 48034?
It is a composite number with 16 divisors.