The number 73148
73148 is a composite number with 6 divisors. Its prime factorisation is × 18287. Divisors (6): 1, 2, 4, 18287, 36574, 73148.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 73148: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
73148 is composite. Its prime factorisation is
- 3
The divisors add up to 128016; without 73148 itself that is 54868, so 73148 is deficient (54868 is less than 73148). Euler's totient φ(73148) = 36572 numbers up to 73148 share no factor with it.
- 4
The digits of 73148 add up to 23, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 187 steps to reach 1.
LaTeX source of the formulas on this page
\[ 73148 = 2^{2} \times 18287 \]73148 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 6 |
| Sum of divisors | 128016 |
| Euler totient φ(n) | 36572 |
| Square | 5350629904 |
| Cube | 391387876217792 |
| Square root | 270.458869 (= 2√18287) |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 187 |
| Scientific notation | 7.3148 × |
73148 in other forms
| Form | Value |
|---|---|
| In words | seventy-three thousand one hundred and forty-eight |
| Binary (base 2) | 10001110110111100 |
| Octal (base 8) | 216674 |
| Hexadecimal (base 16) | 11DBC |
| Base 3 | 10201100012 |
| As time | 73148 seconds = 20 h 19 min 8 s |
Is 73148 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (73148 ÷ 2 = 36574) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 2) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (73148 ÷ 4 = 18287) | 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 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 5) | 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 5) | 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 9) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 73148 a prime number?
No. 73148 = × 18287, so it is divisible by 2.
What are the factors of 73148?
1, 2, 4, 18287, 36574, 73148.
What is 73148 in binary?
10001110110111100 (hexadecimal 11DBC, octal 216674).
What is the square root of 73148?
About 270.4589, exactly 2√18287.
Is 73148 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 73148?
73148 is a happy number: repeatedly adding the squares of its digits reaches 1.