The number 74022
74022 is a composite number with 24 divisors. Its prime factorisation is 2 × 3 × × 73. Divisors (24): 1, 2, 3, 6, 13, 26, 39, 73, 78, 146, 169, 219, 338, 438, 507, 949 … 74022.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
74022 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
74022 is composite. Its prime factorisation is
- 3
The divisors add up to 162504; without 74022 itself that is 88482, so 74022 is abundant (88482 is more than 74022). Euler's totient φ(74022) = 22464 numbers up to 74022 share no factor with it.
- 4
The digits of 74022 add up to 15, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 94 steps to reach 1.
LaTeX source of the formulas on this page
\[ 74022 = 2 \times 3 \times 13^{2} \times 73 \]74022 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 162504 |
| Euler totient φ(n) | 22464 |
| Square | 5479256484 |
| Cube | 405585523458648 |
| Square root | 272.069844 (= 13√438) |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 94 |
| Scientific notation | 7.4022 × |
74022 in other forms
| Form | Value |
|---|---|
| In words | seventy-four thousand and twenty-two |
| Binary (base 2) | 10010000100100110 |
| Octal (base 8) | 220446 |
| Hexadecimal (base 16) | 12126 |
| Base 3 | 10202112120 |
| As time | 74022 seconds = 20 h 33 min 42 s |
Is 74022 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (74022 ÷ 2 = 37011) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (74022 ÷ 3 = 24674) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 2) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (74022 ÷ 6 = 12337) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 4) | 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 6) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 6) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 2) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 3) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 74022 a prime number?
No. 74022 = 2 × 3 × × 73, so it is divisible by 2.
What are the factors of 74022?
1, 2, 3, 6, 13, 26, 39, 73, 78, 146, 169, 219, 338, 438, 507, 949, 1014, 1898, 2847, 5694, 12337, 24674, 37011, 74022.
What is 74022 in binary?
10010000100100110 (hexadecimal 12126, octal 220446).
What is the square root of 74022?
About 272.0698, exactly 13√438.
Is 74022 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 74022?
It is a composite number with 24 divisors.