The number 74028
74028 is a composite number with 24 divisors. Its prime factorisation is × 3 × 31 × 199. Divisors (24): 1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 186, 199, 372, 398, 597, 796 … 74028.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 74028: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
74028 is composite. Its prime factorisation is
- 3
The divisors add up to 179200; without 74028 itself that is 105172, so 74028 is abundant (105172 is more than 74028). Euler's totient φ(74028) = 23760 numbers up to 74028 share no factor with it.
- 4
The digits of 74028 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 37 steps to reach 1.
LaTeX source of the formulas on this page
\[ 74028 = 2^{2} \times 3 \times 31 \times 199 \]74028 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 179200 |
| Euler totient φ(n) | 23760 |
| Square | 5480144784 |
| Cube | 405684158069952 |
| Square root | 272.080870 (= 2√18507) |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 37 |
| Scientific notation | 7.4028 × |
74028 in other forms
| Form | Value |
|---|---|
| In words | seventy-four thousand and twenty-eight |
| Binary (base 2) | 10010000100101100 |
| Octal (base 8) | 220454 |
| Hexadecimal (base 16) | 1212C |
| Base 3 | 10202112210 |
| As time | 74028 seconds = 20 h 33 min 48 s |
Is 74028 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (74028 ÷ 2 = 37014) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (74028 ÷ 3 = 24676) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (74028 ÷ 4 = 18507) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 3) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (74028 ÷ 6 = 12338) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 3) | 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 8) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 9) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (74028 ÷ 12 = 6169) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 74028 a prime number?
No. 74028 = × 3 × 31 × 199, so it is divisible by 2.
What are the factors of 74028?
1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 186, 199, 372, 398, 597, 796, 1194, 2388, 6169, 12338, 18507, 24676, 37014, 74028.
What is 74028 in binary?
10010000100101100 (hexadecimal 1212C, octal 220454).
What is the square root of 74028?
About 272.0809, exactly 2√18507.
Is 74028 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 74028?
74028 is a happy number: repeatedly adding the squares of its digits reaches 1.