The number 67405
67405 is a composite number with 16 divisors. Its prime factorisation is 5 × 13 × 17 × 61. Divisors (16): 1, 5, 13, 17, 61, 65, 85, 221, 305, 793, 1037, 1105, 3965, 5185, 13481, 67405.
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How to work it out
- 1
67405 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
67405 is composite. Its prime factorisation is
- 3
The divisors add up to 93744; without 67405 itself that is 26339, so 67405 is deficient (26339 is less than 67405). Euler's totient φ(67405) = 46080 numbers up to 67405 share no factor with it.
- 4
The digits of 67405 add up to 22, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 205 steps to reach 1.
LaTeX source of the formulas on this page
\[ 67405 = 5 \times 13 \times 17 \times 61 \]
67405 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 93744 |
| Euler totient φ(n) | 46080 |
| Square | 4543434025 |
| Cube | 306250170455125 |
| Square root | 259.624729 |
| Digit sum / digital root | 22 / 4 |
| Collatz steps to 1 | 205 |
| Scientific notation | 6.7405 × |
67405 in other forms
| Form | Value |
|---|---|
| In words | sixty-seven thousand four hundred and five |
| Binary (base 2) | 10000011101001101 |
| Octal (base 8) | 203515 |
| Hexadecimal (base 16) | 1074D |
| Base 3 | 10102110111 |
| As time | 67405 seconds = 18 h 43 min 25 s |
Is 67405 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 | No (remainder 1) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 1) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (67405 ÷ 5 = 13481) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 1) | 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 5) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 4) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 5) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 8) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 1) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 67405 a prime number?
No. 67405 = 5 × 13 × 17 × 61, so it is divisible by 5.
What are the factors of 67405?
1, 5, 13, 17, 61, 65, 85, 221, 305, 793, 1037, 1105, 3965, 5185, 13481, 67405.
What is 67405 in binary?
10000011101001101 (hexadecimal 1074D, octal 203515).
What is the square root of 67405?
About 259.6247.
Is 67405 divisible by 3?
No. Its digits add up to 22, which is not a multiple of 3.
What is special about the number 67405?
It is a composite number with 16 divisors.