The number 82572
82572 is a composite number with 24 divisors. Its prime factorisation is × 3 × 7 × 983. Divisors (24): 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84, 983, 1966, 2949, 3932 … 82572.
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How to work it out
- 1
82572 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
82572 is composite. Its prime factorisation is
- 3
The divisors add up to 220416; without 82572 itself that is 137844, so 82572 is abundant (137844 is more than 82572). Euler's totient φ(82572) = 23568 numbers up to 82572 share no factor with it.
- 4
The digits of 82572 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 151 steps to reach 1.
LaTeX source of the formulas on this page
\[ 82572 = 2^{2} \times 3 \times 7 \times 983 \]82572 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 220416 |
| Euler totient φ(n) | 23568 |
| Square | 6818135184 |
| Cube | 562987058413248 |
| Square root | 287.353441 (= 2√20643) |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 151 |
| Scientific notation | 8.2572 × |
82572 in other forms
| Form | Value |
|---|---|
| In words | eighty-two thousand five hundred and seventy-two |
| Binary (base 2) | 10100001010001100 |
| Octal (base 8) | 241214 |
| Hexadecimal (base 16) | 1428C |
| Base 3 | 11012021020 |
| As time | 82572 seconds = 22 h 56 min 12 s |
Is 82572 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (82572 ÷ 2 = 41286) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (82572 ÷ 3 = 27524) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (82572 ÷ 4 = 20643) | 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 (82572 ÷ 6 = 13762) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (82572 ÷ 7 = 11796) | 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 | No (remainder 6) | 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 6) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (82572 ÷ 12 = 6881) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 82572 a prime number?
No. 82572 = × 3 × 7 × 983, so it is divisible by 2.
What are the factors of 82572?
1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84, 983, 1966, 2949, 3932, 5898, 6881, 11796, 13762, 20643, 27524, 41286, 82572.
What is 82572 in binary?
10100001010001100 (hexadecimal 1428C, octal 241214).
What is the square root of 82572?
About 287.3534, exactly 2√20643.
Is 82572 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 82572?
It is a composite number with 24 divisors.