The number 72684
72684 is a composite number with 24 divisors. Its prime factorisation is × × 673. Divisors (24): 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108, 673, 1346, 2019, 2692 … 72684.
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How to work it out
- 1
What is special about 72684: a Harshad number: divisible by its digit sum 27.
- 2
72684 is composite. Its prime factorisation is
- 3
The divisors add up to 188720; without 72684 itself that is 116036, so 72684 is abundant (116036 is more than 72684). Euler's totient φ(72684) = 24192 numbers up to 72684 share no factor with it.
- 4
The digits of 72684 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 156 steps to reach 1.
LaTeX source of the formulas on this page
\[ 72684 = 2^{2} \times 3^{3} \times 673 \]72684 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 188720 |
| Euler totient φ(n) | 24192 |
| Square | 5282963856 |
| Cube | 383986944909504 |
| Square root | 269.599703 (= 6√2019) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 156 |
| Scientific notation | 7.2684 × |
72684 in other forms
| Form | Value |
|---|---|
| In words | seventy-two thousand six hundred and eighty-four |
| Binary (base 2) | 10001101111101100 |
| Octal (base 8) | 215754 |
| Hexadecimal (base 16) | 11BEC |
| Base 3 | 10200201000 |
| As time | 72684 seconds = 20 h 11 min 24 s |
Is 72684 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (72684 ÷ 2 = 36342) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (72684 ÷ 3 = 24228) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (72684 ÷ 4 = 18171) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 4) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (72684 ÷ 6 = 12114) | 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 | Yes (72684 ÷ 9 = 8076) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 4) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 7) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (72684 ÷ 12 = 6057) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 72684 a prime number?
No. 72684 = × × 673, so it is divisible by 2.
What are the factors of 72684?
1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108, 673, 1346, 2019, 2692, 4038, 6057, 8076, 12114, 18171, 24228, 36342, 72684.
What is 72684 in binary?
10001101111101100 (hexadecimal 11BEC, octal 215754).
What is the square root of 72684?
About 269.5997, exactly 6√2019.
Is 72684 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 72684?
72684 is a Harshad number: divisible by its digit sum 27.