The number 73048
73048 is a composite number with 16 divisors. Its prime factorisation is × 23 × 397. Divisors (16): 1, 2, 4, 8, 23, 46, 92, 184, 397, 794, 1588, 3176, 9131, 18262, 36524, 73048.
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How to work it out
- 1
73048 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
73048 is composite. Its prime factorisation is
- 3
The divisors add up to 143280; without 73048 itself that is 70232, so 73048 is deficient (70232 is less than 73048). Euler's totient φ(73048) = 34848 numbers up to 73048 share no factor with it.
- 4
The digits of 73048 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 156 steps to reach 1.
LaTeX source of the formulas on this page
\[ 73048 = 2^{3} \times 23 \times 397 \]73048 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 143280 |
| Euler totient φ(n) | 34848 |
| Square | 5336010304 |
| Cube | 389784880686592 |
| Square root | 270.273935 (= 2√18262) |
| Digit sum / digital root | 22 / 4 |
| Collatz steps to 1 | 156 |
| Scientific notation | 7.3048 × |
73048 in other forms
| Form | Value |
|---|---|
| In words | seventy-three thousand and forty-eight |
| Binary (base 2) | 10001110101011000 |
| Octal (base 8) | 216530 |
| Hexadecimal (base 16) | 11D58 |
| Base 3 | 10201012111 |
| As time | 73048 seconds = 20 h 17 min 28 s |
Is 73048 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (73048 ÷ 2 = 36524) | 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 (73048 ÷ 4 = 18262) | 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 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 (73048 ÷ 8 = 9131) | 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 8) | 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 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 73048 a prime number?
No. 73048 = × 23 × 397, so it is divisible by 2.
What are the factors of 73048?
1, 2, 4, 8, 23, 46, 92, 184, 397, 794, 1588, 3176, 9131, 18262, 36524, 73048.
What is 73048 in binary?
10001110101011000 (hexadecimal 11D58, octal 216530).
What is the square root of 73048?
About 270.2739, exactly 2√18262.
Is 73048 divisible by 3?
No. Its digits add up to 22, which is not a multiple of 3.
What is special about the number 73048?
It is a composite number with 16 divisors.