2³ × 3 × 7 × 11 × 17 × 31

Prime Factor Structure

Factorization String 2^3 × 3 × 7 × 11 × 17 × 31

Distinct Prime Factors 6

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 128

Divisor Sum (σ) 3,317,760

Proper Divisor Sum 2,343,864

Digit Sum / Digital Root 42 (Root: 6)

Adjacent Primes #973891 ← → #973897

Radix Representation

Decimal	973896
Binary	11101101110001001000 (20 bits)
Octal	0o3556110
Hexadecimal	0xEDC48

Divisor Catalog (60 of 128)

1 2 3 4 6 7 8 11 12 14 17 21 22 24 28 31 33 34 42 44 51 56 62 66 68 77 84 88 93 102 119 124 132 136 154 168 186 187 204 217 231 238 248 264 308 341 357 372 374 408 434 462 476 527 561 616 651 682 714 744

Collatz Trajectory (121 steps to reach 1)

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

973,896 486,948 243,474 121,737 365,212 182,606 91,303 273,910 136,955 410,866 205,433 616,300 308,150 154,075 462,226 231,113 693,340 346,670 173,335 520,006 260,003 780,010 390,005 1,170,016 585,008 292,504 146,252 73,126 36,563 109,690 54,845 164,536 82,268 41,134 20,567 61,702 30,851 92,554 46,277 138,832 69,416 34,708 17,354 8,677 26,032 13,016 6,508 3,254 1,627 4,882 2,441 7,324 3,662 1,831 5,494 2,747 8,242 4,121 12,364 6,182

Active Feeder Network

Other feeder batches with open delivery windows. Each feeder keeps its own target batch.

Feeder #7,737,779 Feeder #685,881 Feeder #2,871,188 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174

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