The number 74625
74625 is a composite number with 16 divisors. Its prime factorisation is 3 × × 199. Divisors (16): 1, 3, 5, 15, 25, 75, 125, 199, 375, 597, 995, 2985, 4975, 14925, 24875, 74625.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 74625: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
74625 is composite. Its prime factorisation is
- 3
The divisors add up to 124800; without 74625 itself that is 50175, so 74625 is deficient (50175 is less than 74625). Euler's totient φ(74625) = 39600 numbers up to 74625 share no factor with it.
- 4
The digits of 74625 add up to 24, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 138 steps to reach 1.
LaTeX source of the formulas on this page
\[ 74625 = 3 \times 5^{3} \times 199 \]74625 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 124800 |
| Euler totient φ(n) | 39600 |
| Square | 5568890625 |
| Cube | 415578462890625 |
| Square root | 273.175768 (= 5√2985) |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 138 |
| Scientific notation | 7.4625 × |
74625 in other forms
| Form | Value |
|---|---|
| In words | seventy-four thousand six hundred and twenty-five |
| Binary (base 2) | 10010001110000001 |
| Octal (base 8) | 221601 |
| Hexadecimal (base 16) | 12381 |
| Base 3 | 10210100220 |
| As time | 74625 seconds = 20 h 43 min 45 s |
Is 74625 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 (74625 ÷ 3 = 24875) | 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 (74625 ÷ 5 = 14925) | 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 | No (remainder 5) | 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 | No (remainder 6) | 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 1) | 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 74625 a prime number?
No. 74625 = 3 × × 199, so it is divisible by 3.
What are the factors of 74625?
1, 3, 5, 15, 25, 75, 125, 199, 375, 597, 995, 2985, 4975, 14925, 24875, 74625.
What is 74625 in binary?
10010001110000001 (hexadecimal 12381, octal 221601).
What is the square root of 74625?
About 273.1758, exactly 5√2985.
Is 74625 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 74625?
74625 is a happy number: repeatedly adding the squares of its digits reaches 1.