The number 74024
74024 is a composite number with 16 divisors. Its prime factorisation is × 19 × 487. Divisors (16): 1, 2, 4, 8, 19, 38, 76, 152, 487, 974, 1948, 3896, 9253, 18506, 37012, 74024.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
74024 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
74024 is composite. Its prime factorisation is
- 3
The divisors add up to 146400; without 74024 itself that is 72376, so 74024 is deficient (72376 is less than 74024). Euler's totient φ(74024) = 34992 numbers up to 74024 share no factor with it.
- 4
The digits of 74024 add up to 17, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 112 steps to reach 1.
LaTeX source of the formulas on this page
\[ 74024 = 2^{3} \times 19 \times 487 \]74024 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 146400 |
| Euler totient φ(n) | 34992 |
| Square | 5479552576 |
| Cube | 405618399885824 |
| Square root | 272.073519 (= 2√18506) |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 112 |
| Scientific notation | 7.4024 × |
74024 in other forms
| Form | Value |
|---|---|
| In words | seventy-four thousand and twenty-four |
| Binary (base 2) | 10010000100101000 |
| Octal (base 8) | 220450 |
| Hexadecimal (base 16) | 12128 |
| Base 3 | 10202112122 |
| As time | 74024 seconds = 20 h 33 min 44 s |
Is 74024 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (74024 ÷ 2 = 37012) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 2) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (74024 ÷ 4 = 18506) | 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 | No (remainder 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 6) | 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 | Yes (74024 ÷ 8 = 9253) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 8) | 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 5) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 74024 a prime number?
No. 74024 = × 19 × 487, so it is divisible by 2.
What are the factors of 74024?
1, 2, 4, 8, 19, 38, 76, 152, 487, 974, 1948, 3896, 9253, 18506, 37012, 74024.
What is 74024 in binary?
10010000100101000 (hexadecimal 12128, octal 220450).
What is the square root of 74024?
About 272.0735, exactly 2√18506.
Is 74024 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 74024?
It is a composite number with 16 divisors.