The number 73108
73108 is a composite number with 18 divisors. Its prime factorisation is × × 373. Divisors (18): 1, 2, 4, 7, 14, 28, 49, 98, 196, 373, 746, 1492, 2611, 5222, 10444, 18277 … 73108.
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How to work it out
- 1
73108 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
73108 is composite. Its prime factorisation is
- 3
The divisors add up to 149226; without 73108 itself that is 76118, so 73108 is abundant (76118 is more than 73108). Euler's totient φ(73108) = 31248 numbers up to 73108 share no factor with it.
- 4
The digits of 73108 add up to 19, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 37 steps to reach 1.
LaTeX source of the formulas on this page
\[ 73108 = 2^{2} \times 7^{2} \times 373 \]73108 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 18 |
| Sum of divisors | 149226 |
| Euler totient φ(n) | 31248 |
| Square | 5344779664 |
| Cube | 390746151675712 |
| Square root | 270.384911 (= 14√373) |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 37 |
| Scientific notation | 7.3108 × |
73108 in other forms
| Form | Value |
|---|---|
| In words | seventy-three thousand one hundred and eight |
| Binary (base 2) | 10001110110010100 |
| Octal (base 8) | 216624 |
| Hexadecimal (base 16) | 11D94 |
| Base 3 | 10201021201 |
| As time | 73108 seconds = 20 h 18 min 28 s |
Is 73108 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (73108 ÷ 2 = 36554) | 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 (73108 ÷ 4 = 18277) | 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 (73108 ÷ 7 = 10444) | 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 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 2) | 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 73108 a prime number?
No. 73108 = × × 373, so it is divisible by 2.
What are the factors of 73108?
1, 2, 4, 7, 14, 28, 49, 98, 196, 373, 746, 1492, 2611, 5222, 10444, 18277, 36554, 73108.
What is 73108 in binary?
10001110110010100 (hexadecimal 11D94, octal 216624).
What is the square root of 73108?
About 270.3849, exactly 14√373.
Is 73108 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 73108?
It is a composite number with 18 divisors.