The number 73494
73494 is a composite number with 16 divisors. Its prime factorisation is 2 × × 1361. Divisors (16): 1, 2, 3, 6, 9, 18, 27, 54, 1361, 2722, 4083, 8166, 12249, 24498, 36747, 73494.
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How to work it out
- 1
What is special about 73494: a Harshad number: divisible by its digit sum 27.
- 2
73494 is composite. Its prime factorisation is
- 3
The divisors add up to 163440; without 73494 itself that is 89946, so 73494 is abundant (89946 is more than 73494). Euler's totient φ(73494) = 24480 numbers up to 73494 share no factor with it.
- 4
The digits of 73494 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 187 steps to reach 1.
LaTeX source of the formulas on this page
\[ 73494 = 2 \times 3^{3} \times 1361 \]73494 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 163440 |
| Euler totient φ(n) | 24480 |
| Square | 5401368036 |
| Cube | 396968142437784 |
| Square root | 271.097768 (= 3√8166) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 187 |
| Scientific notation | 7.3494 × |
73494 in other forms
| Form | Value |
|---|---|
| In words | seventy-three thousand four hundred and ninety-four |
| Binary (base 2) | 10001111100010110 |
| Octal (base 8) | 217426 |
| Hexadecimal (base 16) | 11F16 |
| Base 3 | 10201211000 |
| As time | 73494 seconds = 20 h 24 min 54 s |
Is 73494 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (73494 ÷ 2 = 36747) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (73494 ÷ 3 = 24498) | 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 4) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (73494 ÷ 6 = 12249) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 1) | 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 6) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (73494 ÷ 9 = 8166) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 4) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 3) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 73494 a prime number?
No. 73494 = 2 × × 1361, so it is divisible by 2.
What are the factors of 73494?
1, 2, 3, 6, 9, 18, 27, 54, 1361, 2722, 4083, 8166, 12249, 24498, 36747, 73494.
What is 73494 in binary?
10001111100010110 (hexadecimal 11F16, octal 217426).
What is the square root of 73494?
About 271.0978, exactly 3√8166.
Is 73494 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 73494?
73494 is a Harshad number: divisible by its digit sum 27.