The number 73438
73438 is a composite number with 8 divisors. Its prime factorisation is 2 × 73 × 503. Divisors (8): 1, 2, 73, 146, 503, 1006, 36719, 73438.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
73438 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
73438 is composite. Its prime factorisation is
- 3
The divisors add up to 111888; without 73438 itself that is 38450, so 73438 is deficient (38450 is less than 73438). Euler's totient φ(73438) = 36144 numbers up to 73438 share no factor with it.
- 4
The digits of 73438 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 125 steps to reach 1.
LaTeX source of the formulas on this page
\[ 73438 = 2 \times 73 \times 503 \]
73438 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 111888 |
| Euler totient φ(n) | 36144 |
| Square | 5393139844 |
| Cube | 396061403863672 |
| Square root | 270.994465 |
| Digit sum / digital root | 25 / 7 |
| Collatz steps to 1 | 125 |
| Scientific notation | 7.3438 × |
73438 in other forms
| Form | Value |
|---|---|
| In words | seventy-three thousand four hundred and thirty-eight |
| Binary (base 2) | 10001111011011110 |
| Octal (base 8) | 217336 |
| Hexadecimal (base 16) | 11EDE |
| Base 3 | 10201201221 |
| As time | 73438 seconds = 20 h 23 min 58 s |
Is 73438 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (73438 ÷ 2 = 36719) | 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 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 1) | 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 6) | 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 | No (remainder 2) | 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 73438 a prime number?
No. 73438 = 2 × 73 × 503, so it is divisible by 2.
What are the factors of 73438?
1, 2, 73, 146, 503, 1006, 36719, 73438.
What is 73438 in binary?
10001111011011110 (hexadecimal 11EDE, octal 217336).
What is the square root of 73438?
About 270.9945.
Is 73438 divisible by 3?
No. Its digits add up to 25, which is not a multiple of 3.
What is special about the number 73438?
It is a composite number with 8 divisors.