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868,084

22 × 72 × 43 × 103
Abundant Even Composite

868,084 factors as 2^2 × 7^2 × 43 × 103. Its 36 positive divisors give a proper-divisor sum of 957,740, so this integer is abundant. The Collatz stopping time is 126 steps.

Prime Factor Structure

Factorization String 2^2 × 7^2 × 43 × 103
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 1,825,824
Proper Divisor Sum 957,740
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #868081 ← → #868103

Radix Representation

Decimal 868084
Binary 11010011111011110100 (20 bits)
Octal 0o3237364
Hexadecimal 0xD3EF4

Divisor Catalog (36)

1 2 4 7 14 28 43 49 86 98 103 172 196 206 301 412 602 721 1,204 1,442 2,107 2,884 4,214 4,429 5,047 8,428 8,858 10,094 17,716 20,188 31,003 62,006 124,012 217,021 434,042 868,084

Collatz Trajectory (126 steps to reach 1)

Iterative sequence n → n/2 (if even) or 3n+1 (if odd):

868,084 434,042 217,021 651,064 325,532 162,766 81,383 244,150 122,075 366,226 183,113 549,340 274,670 137,335 412,006 206,003 618,010 309,005 927,016 463,508 231,754 115,877 347,632 173,816 86,908 43,454 21,727 65,182 32,591 97,774 48,887 146,662 73,331 219,994 109,997 329,992 164,996 82,498 41,249 123,748 61,874 30,937 92,812 46,406 23,203 69,610 34,805 104,416 52,208 26,104 13,052 6,526 3,263 9,790 4,895 14,686 7,343 22,030 11,015 33,046

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