The number 74725
74725 is a composite number with 18 divisors. Its prime factorisation is × × 61. Divisors (18): 1, 5, 7, 25, 35, 49, 61, 175, 245, 305, 427, 1225, 1525, 2135, 2989, 10675 … 74725.
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How to work it out
- 1
What is special about 74725: a Harshad number: divisible by its digit sum 25.
- 2
74725 is composite. Its prime factorisation is
- 3
The divisors add up to 109554; without 74725 itself that is 34829, so 74725 is deficient (34829 is less than 74725). Euler's totient φ(74725) = 50400 numbers up to 74725 share no factor with it.
- 4
The digits of 74725 add up to 25, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 156 steps to reach 1.
LaTeX source of the formulas on this page
\[ 74725 = 5^{2} \times 7^{2} \times 61 \]74725 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 18 |
| Sum of divisors | 109554 |
| Euler totient φ(n) | 50400 |
| Square | 5583825625 |
| Cube | 417251369828125 |
| Square root | 273.358739 (= 35√61) |
| Digit sum / digital root | 25 / 7 |
| Collatz steps to 1 | 156 |
| Scientific notation | 7.4725 × |
74725 in other forms
| Form | Value |
|---|---|
| In words | seventy-four thousand seven hundred and twenty-five |
| Binary (base 2) | 10010001111100101 |
| Octal (base 8) | 221745 |
| Hexadecimal (base 16) | 123E5 |
| Base 3 | 10210111121 |
| As time | 74725 seconds = 20 h 45 min 25 s |
Is 74725 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 | No (remainder 1) | 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 (74725 ÷ 5 = 14945) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 1) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (74725 ÷ 7 = 10675) | 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 5) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 7) | 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 2) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 1) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 74725 a prime number?
No. 74725 = × × 61, so it is divisible by 5.
What are the factors of 74725?
1, 5, 7, 25, 35, 49, 61, 175, 245, 305, 427, 1225, 1525, 2135, 2989, 10675, 14945, 74725.
What is 74725 in binary?
10010001111100101 (hexadecimal 123E5, octal 221745).
What is the square root of 74725?
About 273.3587, exactly 35√61.
Is 74725 divisible by 3?
No. Its digits add up to 25, which is not a multiple of 3.
What is special about the number 74725?
74725 is a Harshad number: divisible by its digit sum 25.