The number 74005
74005 is a composite number with 12 divisors. Its prime factorisation is 5 × × 41. Divisors (12): 1, 5, 19, 41, 95, 205, 361, 779, 1805, 3895, 14801, 74005.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
74005 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
74005 is composite. Its prime factorisation is
- 3
The divisors add up to 96012; without 74005 itself that is 22007, so 74005 is deficient (22007 is less than 74005). Euler's totient φ(74005) = 54720 numbers up to 74005 share no factor with it.
- 4
The digits of 74005 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 37 steps to reach 1.
LaTeX source of the formulas on this page
\[ 74005 = 5 \times 19^{2} \times 41 \]74005 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 96012 |
| Euler totient φ(n) | 54720 |
| Square | 5476740025 |
| Cube | 405306145550125 |
| Square root | 272.038600 (= 19√205) |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 37 |
| Scientific notation | 7.4005 × |
74005 in other forms
| Form | Value |
|---|---|
| In words | seventy-four thousand and five |
| Binary (base 2) | 10010000100010101 |
| Octal (base 8) | 220425 |
| Hexadecimal (base 16) | 12115 |
| Base 3 | 10202111221 |
| As time | 74005 seconds = 20 h 33 min 25 s |
Is 74005 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 (74005 ÷ 5 = 14801) | 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 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 5) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 7) | 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 74005 a prime number?
No. 74005 = 5 × × 41, so it is divisible by 5.
What are the factors of 74005?
1, 5, 19, 41, 95, 205, 361, 779, 1805, 3895, 14801, 74005.
What is 74005 in binary?
10010000100010101 (hexadecimal 12115, octal 220425).
What is the square root of 74005?
About 272.0386, exactly 19√205.
Is 74005 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 74005?
It is a composite number with 12 divisors.