2⁴ × 3² × 11 × 13 × 853

Prime Factor Structure

Factorization String 2^4 × 3^2 × 11 × 13 × 853

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 120

Divisor Sum (σ) 57,819,216

Proper Divisor Sum 40,254,240

Digit Sum / Digital Root 45 (Root: 9)

Adjacent Primes #17564971 ← → #17564977

Radix Representation

Decimal	17564976
Binary	1000011000000010100110000 (25 bits)
Octal	0o103002460
Hexadecimal	0x10C0530

Divisor Catalog (60 of 120)

1 2 3 4 6 8 9 11 12 13 16 18 22 24 26 33 36 39 44 48 52 66 72 78 88 99 104 117 132 143 144 156 176 198 208 234 264 286 312 396 429 468 528 572 624 792 853 858 936 1,144 1,287 1,584 1,706 1,716 1,872 2,288 2,559 2,574 3,412 3,432

Collatz Trajectory (125 steps to reach 1)

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

17,564,976 8,782,488 4,391,244 2,195,622 1,097,811 3,293,434 1,646,717 4,940,152 2,470,076 1,235,038 617,519 1,852,558 926,279 2,778,838 1,389,419 4,168,258 2,084,129 6,252,388 3,126,194 1,563,097 4,689,292 2,344,646 1,172,323 3,516,970 1,758,485 5,275,456 2,637,728 1,318,864 659,432 329,716 164,858 82,429 247,288 123,644 61,822 30,911 92,734 46,367 139,102 69,551 208,654 104,327 312,982 156,491 469,474 234,737 704,212 352,106 176,053 528,160 264,080 132,040 66,020 33,010 16,505 49,516 24,758 12,379 37,138 18,569

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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