The number 67404
67404 is a composite number with 24 divisors. Its prime factorisation is × 3 × 41 × 137. Divisors (24): 1, 2, 3, 4, 6, 12, 41, 82, 123, 137, 164, 246, 274, 411, 492, 548 … 67404.
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How to work it out
- 1
67404 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
67404 is composite. Its prime factorisation is
- 3
The divisors add up to 162288; without 67404 itself that is 94884, so 67404 is abundant (94884 is more than 67404). Euler's totient φ(67404) = 21760 numbers up to 67404 share no factor with it.
- 4
The digits of 67404 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 205 steps to reach 1.
LaTeX source of the formulas on this page
\[ 67404 = 2^{2} \times 3 \times 41 \times 137 \]67404 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 162288 |
| Euler totient φ(n) | 21760 |
| Square | 4543299216 |
| Cube | 306236540355264 |
| Square root | 259.622803 (= 2√16851) |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 205 |
| Scientific notation | 6.7404 × |
67404 in other forms
| Form | Value |
|---|---|
| In words | sixty-seven thousand four hundred and four |
| Binary (base 2) | 10000011101001100 |
| Octal (base 8) | 203514 |
| Hexadecimal (base 16) | 1074C |
| Base 3 | 10102110110 |
| As time | 67404 seconds = 18 h 43 min 24 s |
Is 67404 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (67404 ÷ 2 = 33702) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (67404 ÷ 3 = 22468) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (67404 ÷ 4 = 16851) | 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 (67404 ÷ 6 = 11234) | 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 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 3) | 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 7) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (67404 ÷ 12 = 5617) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 67404 a prime number?
No. 67404 = × 3 × 41 × 137, so it is divisible by 2.
What are the factors of 67404?
1, 2, 3, 4, 6, 12, 41, 82, 123, 137, 164, 246, 274, 411, 492, 548, 822, 1644, 5617, 11234, 16851, 22468, 33702, 67404.
What is 67404 in binary?
10000011101001100 (hexadecimal 1074C, octal 203514).
What is the square root of 67404?
About 259.6228, exactly 2√16851.
Is 67404 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 67404?
It is a composite number with 24 divisors.