The number 73138
73138 is a composite number with 16 divisors. Its prime factorisation is 2 × 13 × 29 × 97. Divisors (16): 1, 2, 13, 26, 29, 58, 97, 194, 377, 754, 1261, 2522, 2813, 5626, 36569, 73138.
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How to work it out
- 1
73138 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
73138 is composite. Its prime factorisation is
- 3
The divisors add up to 123480; without 73138 itself that is 50342, so 73138 is deficient (50342 is less than 73138). Euler's totient φ(73138) = 32256 numbers up to 73138 share no factor with it.
- 4
The digits of 73138 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 63 steps to reach 1.
LaTeX source of the formulas on this page
\[ 73138 = 2 \times 13 \times 29 \times 97 \]
73138 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 123480 |
| Euler totient φ(n) | 32256 |
| Square | 5349167044 |
| Cube | 391227379264072 |
| Square root | 270.440382 |
| Digit sum / digital root | 22 / 4 |
| Collatz steps to 1 | 63 |
| Scientific notation | 7.3138 × |
73138 in other forms
| Form | Value |
|---|---|
| In words | seventy-three thousand one hundred and thirty-eight |
| Binary (base 2) | 10001110110110010 |
| Octal (base 8) | 216662 |
| Hexadecimal (base 16) | 11DB2 |
| Base 3 | 10201022211 |
| As time | 73138 seconds = 20 h 18 min 58 s |
Is 73138 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (73138 ÷ 2 = 36569) | 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 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 2) | 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 10) | 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 73138 a prime number?
No. 73138 = 2 × 13 × 29 × 97, so it is divisible by 2.
What are the factors of 73138?
1, 2, 13, 26, 29, 58, 97, 194, 377, 754, 1261, 2522, 2813, 5626, 36569, 73138.
What is 73138 in binary?
10001110110110010 (hexadecimal 11DB2, octal 216662).
What is the square root of 73138?
About 270.4404.
Is 73138 divisible by 3?
No. Its digits add up to 22, which is not a multiple of 3.
What is special about the number 73138?
It is a composite number with 16 divisors.