The number 74682
74682 is a composite number with 20 divisors. Its prime factorisation is 2 × × 461. Divisors (20): 1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 461, 922, 1383, 2766, 4149, 8298 … 74682.
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How to work it out
- 1
What is special about 74682: a Harshad number: divisible by its digit sum 27.
- 2
74682 is composite. Its prime factorisation is
- 3
The divisors add up to 167706; without 74682 itself that is 93024, so 74682 is abundant (93024 is more than 74682). Euler's totient φ(74682) = 24840 numbers up to 74682 share no factor with it.
- 4
The digits of 74682 add up to 27, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 37 steps to reach 1.
LaTeX source of the formulas on this page
\[ 74682 = 2 \times 3^{4} \times 461 \]74682 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 20 |
| Sum of divisors | 167706 |
| Euler totient φ(n) | 24840 |
| Square | 5577401124 |
| Cube | 416531470742568 |
| Square root | 273.280076 (= 9√922) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 37 |
| Scientific notation | 7.4682 × |
74682 in other forms
| Form | Value |
|---|---|
| In words | seventy-four thousand six hundred and eighty-two |
| Binary (base 2) | 10010001110111010 |
| Octal (base 8) | 221672 |
| Hexadecimal (base 16) | 123BA |
| Base 3 | 10210110000 |
| As time | 74682 seconds = 20 h 44 min 42 s |
Is 74682 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (74682 ÷ 2 = 37341) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (74682 ÷ 3 = 24894) | 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 (74682 ÷ 6 = 12447) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 6) | 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 2) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (74682 ÷ 9 = 8298) | 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 74682 a prime number?
No. 74682 = 2 × × 461, so it is divisible by 2.
What are the factors of 74682?
1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 461, 922, 1383, 2766, 4149, 8298, 12447, 24894, 37341, 74682.
What is 74682 in binary?
10010001110111010 (hexadecimal 123BA, octal 221672).
What is the square root of 74682?
About 273.2801, exactly 9√922.
Is 74682 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 74682?
74682 is a Harshad number: divisible by its digit sum 27.