The number 73738
73738 is a composite number with 16 divisors. Its prime factorisation is 2 × 7 × 23 × 229. Divisors (16): 1, 2, 7, 14, 23, 46, 161, 229, 322, 458, 1603, 3206, 5267, 10534, 36869, 73738.
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How to work it out
- 1
73738 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
73738 is composite. Its prime factorisation is
- 3
The divisors add up to 132480; without 73738 itself that is 58742, so 73738 is deficient (58742 is less than 73738). Euler's totient φ(73738) = 30096 numbers up to 73738 share no factor with it.
- 4
The digits of 73738 add up to 28, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 50 steps to reach 1.
LaTeX source of the formulas on this page
\[ 73738 = 2 \times 7 \times 23 \times 229 \]
73738 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 132480 |
| Euler totient φ(n) | 30096 |
| Square | 5437292644 |
| Cube | 400935084983272 |
| Square root | 271.547418 |
| Digit sum / digital root | 28 / 1 |
| Collatz steps to 1 | 50 |
| Scientific notation | 7.3738 × |
73738 in other forms
| Form | Value |
|---|---|
| In words | seventy-three thousand seven hundred and thirty-eight |
| Binary (base 2) | 10010000000001010 |
| Octal (base 8) | 220012 |
| Hexadecimal (base 16) | 1200A |
| Base 3 | 10202011001 |
| As time | 73738 seconds = 20 h 28 min 58 s |
Is 73738 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (73738 ÷ 2 = 36869) | 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 | Yes (73738 ÷ 7 = 10534) | 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 8) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 5) | 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 73738 a prime number?
No. 73738 = 2 × 7 × 23 × 229, so it is divisible by 2.
What are the factors of 73738?
1, 2, 7, 14, 23, 46, 161, 229, 322, 458, 1603, 3206, 5267, 10534, 36869, 73738.
What is 73738 in binary?
10010000000001010 (hexadecimal 1200A, octal 220012).
What is the square root of 73738?
About 271.5474.
Is 73738 divisible by 3?
No. Its digits add up to 28, which is not a multiple of 3.
What is special about the number 73738?
It is a composite number with 16 divisors.