The number 73348
73348 is a composite number with 12 divisors. Its prime factorisation is × 11 × 1667. Divisors (12): 1, 2, 4, 11, 22, 44, 1667, 3334, 6668, 18337, 36674, 73348.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
73348 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
73348 is composite. Its prime factorisation is
- 3
The divisors add up to 140112; without 73348 itself that is 66764, so 73348 is deficient (66764 is less than 73348). Euler's totient φ(73348) = 33320 numbers up to 73348 share no factor with it.
- 4
The digits of 73348 add up to 25, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 37 steps to reach 1.
LaTeX source of the formulas on this page
\[ 73348 = 2^{2} \times 11 \times 1667 \]73348 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 140112 |
| Euler totient φ(n) | 33320 |
| Square | 5379929104 |
| Cube | 394607039920192 |
| Square root | 270.828359 (= 2√18337) |
| Digit sum / digital root | 25 / 7 |
| Collatz steps to 1 | 37 |
| Scientific notation | 7.3348 × |
73348 in other forms
| Form | Value |
|---|---|
| In words | seventy-three thousand three hundred and forty-eight |
| Binary (base 2) | 10001111010000100 |
| Octal (base 8) | 217204 |
| Hexadecimal (base 16) | 11E84 |
| Base 3 | 10201121121 |
| As time | 73348 seconds = 20 h 22 min 28 s |
Is 73348 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (73348 ÷ 2 = 36674) | 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 (73348 ÷ 4 = 18337) | 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 2) | 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 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 7) | 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 | Yes (73348 ÷ 11 = 6668) | 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 73348 a prime number?
No. 73348 = × 11 × 1667, so it is divisible by 2.
What are the factors of 73348?
1, 2, 4, 11, 22, 44, 1667, 3334, 6668, 18337, 36674, 73348.
What is 73348 in binary?
10001111010000100 (hexadecimal 11E84, octal 217204).
What is the square root of 73348?
About 270.8284, exactly 2√18337.
Is 73348 divisible by 3?
No. Its digits add up to 25, which is not a multiple of 3.
What is special about the number 73348?
It is a composite number with 12 divisors.