2⁵ × 3² × 7² × 827

Prime Factor Structure

Factorization String 2^5 × 3^2 × 7^2 × 827

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 108

Divisor Sum (σ) 38,653,524

Proper Divisor Sum 26,982,900

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #11670599 ← → #11670629

Radix Representation

Decimal	11670624
Binary	101100100001010001100000 (24 bits)
Octal	0o54412140
Hexadecimal	0xB21460

Divisor Catalog (60 of 108)

1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 49 56 63 72 84 96 98 112 126 144 147 168 196 224 252 288 294 336 392 441 504 588 672 784 827 882 1,008 1,176 1,568 1,654 1,764 2,016 2,352 2,481 3,308 3,528 4,704 4,962 5,789 6,616 7,056

Collatz Trajectory (140 steps to reach 1)

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

11,670,624 5,835,312 2,917,656 1,458,828 729,414 364,707 1,094,122 547,061 1,641,184 820,592 410,296 205,148 102,574 51,287 153,862 76,931 230,794 115,397 346,192 173,096 86,548 43,274 21,637 64,912 32,456 16,228 8,114 4,057 12,172 6,086 3,043 9,130 4,565 13,696 6,848 3,424 1,712 856 428 214 107 322 161 484 242 121 364 182 91 274 137 412 206 103 310 155 466 233 700 350

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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