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904,536

23 × 32 × 17 × 739
Abundant Even Composite

904,536 factors as 2^3 × 3^2 × 17 × 739. Its 48 positive divisors give a proper-divisor sum of 1,692,864, so this integer is abundant. The Collatz stopping time is 126 steps.

Prime Factor Structure

Factorization String 2^3 × 3^2 × 17 × 739
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 2,597,400
Proper Divisor Sum 1,692,864
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #904531 ← → #904559

Radix Representation

Decimal 904536
Binary 11011100110101011000 (20 bits)
Octal 0o3346530
Hexadecimal 0xDCD58

Divisor Catalog (48)

1 2 3 4 6 8 9 12 17 18 24 34 36 51 68 72 102 136 153 204 306 408 612 739 1,224 1,478 2,217 2,956 4,434 5,912 6,651 8,868 12,563 13,302 17,736 25,126 26,604 37,689 50,252 53,208 75,378 100,504 113,067 150,756 226,134 301,512 452,268 904,536

Collatz Trajectory (126 steps to reach 1)

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

904,536 452,268 226,134 113,067 339,202 169,601 508,804 254,402 127,201 381,604 190,802 95,401 286,204 143,102 71,551 214,654 107,327 321,982 160,991 482,974 241,487 724,462 362,231 1,086,694 543,347 1,630,042 815,021 2,445,064 1,222,532 611,266 305,633 916,900 458,450 229,225 687,676 343,838 171,919 515,758 257,879 773,638 386,819 1,160,458 580,229 1,740,688 870,344 435,172 217,586 108,793 326,380 163,190 81,595 244,786 122,393 367,180 183,590 91,795 275,386 137,693 413,080 206,540

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