The number 73467
73467 is a composite number with 10 divisors. Its prime factorisation is × 907. Divisors (10): 1, 3, 9, 27, 81, 907, 2721, 8163, 24489, 73467.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 73467: a Harshad number: divisible by its digit sum 27.
- 2
73467 is composite. Its prime factorisation is
- 3
The divisors add up to 109868; without 73467 itself that is 36401, so 73467 is deficient (36401 is less than 73467). Euler's totient φ(73467) = 48924 numbers up to 73467 share no factor with it.
- 4
The digits of 73467 add up to 27, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 125 steps to reach 1.
LaTeX source of the formulas on this page
\[ 73467 = 3^{4} \times 907 \]73467 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 10 |
| Sum of divisors | 109868 |
| Euler totient φ(n) | 48924 |
| Square | 5397400089 |
| Cube | 396530792338563 |
| Square root | 271.047966 (= 9√907) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 125 |
| Scientific notation | 7.3467 × |
73467 in other forms
| Form | Value |
|---|---|
| In words | seventy-three thousand four hundred and sixty-seven |
| Binary (base 2) | 10001111011111011 |
| Octal (base 8) | 217373 |
| Hexadecimal (base 16) | 11EFB |
| Base 3 | 10201210000 |
| As time | 73467 seconds = 20 h 24 min 27 s |
Is 73467 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (73467 ÷ 3 = 24489) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 3) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 2) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 3) | 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 3) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (73467 ÷ 9 = 8163) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 7) | 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 3) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 73467 a prime number?
No. 73467 = × 907, so it is divisible by 3.
What are the factors of 73467?
1, 3, 9, 27, 81, 907, 2721, 8163, 24489, 73467.
What is 73467 in binary?
10001111011111011 (hexadecimal 11EFB, octal 217373).
What is the square root of 73467?
About 271.0480, exactly 9√907.
Is 73467 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 73467?
73467 is a Harshad number: divisible by its digit sum 27.