The number 73404
73404 is a composite number with 18 divisors. Its prime factorisation is × × 2039. Divisors (18): 1, 2, 3, 4, 6, 9, 12, 18, 36, 2039, 4078, 6117, 8156, 12234, 18351, 24468 … 73404.
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How to work it out
- 1
What is special about 73404: a Harshad number: divisible by its digit sum 18.
- 2
73404 is composite. Its prime factorisation is
- 3
The divisors add up to 185640; without 73404 itself that is 112236, so 73404 is abundant (112236 is more than 73404). Euler's totient φ(73404) = 24456 numbers up to 73404 share no factor with it.
- 4
The digits of 73404 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 156 steps to reach 1.
LaTeX source of the formulas on this page
\[ 73404 = 2^{2} \times 3^{2} \times 2039 \]73404 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 18 |
| Sum of divisors | 185640 |
| Euler totient φ(n) | 24456 |
| Square | 5388147216 |
| Cube | 395511558243264 |
| Square root | 270.931726 (= 6√2039) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 156 |
| Scientific notation | 7.3404 × |
73404 in other forms
| Form | Value |
|---|---|
| In words | seventy-three thousand four hundred and four |
| Binary (base 2) | 10001111010111100 |
| Octal (base 8) | 217274 |
| Hexadecimal (base 16) | 11EBC |
| Base 3 | 10201200200 |
| As time | 73404 seconds = 20 h 23 min 24 s |
Is 73404 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (73404 ÷ 2 = 36702) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (73404 ÷ 3 = 24468) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (73404 ÷ 4 = 18351) | 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 (73404 ÷ 6 = 12234) | 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 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (73404 ÷ 9 = 8156) | 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 1) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (73404 ÷ 12 = 6117) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 73404 a prime number?
No. 73404 = × × 2039, so it is divisible by 2.
What are the factors of 73404?
1, 2, 3, 4, 6, 9, 12, 18, 36, 2039, 4078, 6117, 8156, 12234, 18351, 24468, 36702, 73404.
What is 73404 in binary?
10001111010111100 (hexadecimal 11EBC, octal 217274).
What is the square root of 73404?
About 270.9317, exactly 6√2039.
Is 73404 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 73404?
73404 is a Harshad number: divisible by its digit sum 18.