The number 74025
74025 is a composite number with 36 divisors. Its prime factorisation is × × 7 × 47. Divisors (36): 1, 3, 5, 7, 9, 15, 21, 25, 35, 45, 47, 63, 75, 105, 141, 175 … 74025.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 74025: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
74025 is composite. Its prime factorisation is
- 3
The divisors add up to 154752; without 74025 itself that is 80727, so 74025 is abundant (80727 is more than 74025). Euler's totient φ(74025) = 33120 numbers up to 74025 share no factor with it.
- 4
The digits of 74025 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 187 steps to reach 1.
LaTeX source of the formulas on this page
\[ 74025 = 3^{2} \times 5^{2} \times 7 \times 47 \]74025 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 36 |
| Sum of divisors | 154752 |
| Euler totient φ(n) | 33120 |
| Square | 5479700625 |
| Cube | 405634838765625 |
| Square root | 272.075357 (= 15√329) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 187 |
| Scientific notation | 7.4025 × |
74025 in other forms
| Form | Value |
|---|---|
| In words | seventy-four thousand and twenty-five |
| Binary (base 2) | 10010000100101001 |
| Octal (base 8) | 220451 |
| Hexadecimal (base 16) | 12129 |
| Base 3 | 10202112200 |
| As time | 74025 seconds = 20 h 33 min 45 s |
Is 74025 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 | Yes (74025 ÷ 3 = 24675) | 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 (74025 ÷ 5 = 14805) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 3) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (74025 ÷ 7 = 10575) | 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 1) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (74025 ÷ 9 = 8225) | 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 6) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 74025 a prime number?
No. 74025 = × × 7 × 47, so it is divisible by 3.
What are the factors of 74025?
1, 3, 5, 7, 9, 15, 21, 25, 35, 45, 47, 63, 75, 105, 141, 175, 225, 235, 315, 329, 423, 525, 705, 987, 1175, 1575, 1645, 2115, 2961, 3525, 4935, 8225, 10575, 14805, 24675, 74025.
What is 74025 in binary?
10010000100101001 (hexadecimal 12129, octal 220451).
What is the square root of 74025?
About 272.0754, exactly 15√329.
Is 74025 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 74025?
74025 is a happy number: repeatedly adding the squares of its digits reaches 1.