2² × 3³ × 7 × 13 × 31 × 43

Prime Factor Structure

Factorization String 2^2 × 3^3 × 7 × 13 × 31 × 43

Distinct Prime Factors 6

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 192

Divisor Sum (σ) 44,154,880

Proper Divisor Sum 31,054,156

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #13100719 ← → #13100741

Radix Representation

Decimal	13100724
Binary	110001111110011010110100 (24 bits)
Octal	0o61763264
Hexadecimal	0xC7E6B4

Divisor Catalog (60 of 192)

1 2 3 4 6 7 9 12 13 14 18 21 26 27 28 31 36 39 42 43 52 54 62 63 78 84 86 91 93 108 117 124 126 129 156 172 182 186 189 217 234 252 258 273 279 301 351 364 372 378 387 403 434 468 516 546 558 559 602 651

Collatz Trajectory (148 steps to reach 1)

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

13,100,724 6,550,362 3,275,181 9,825,544 4,912,772 2,456,386 1,228,193 3,684,580 1,842,290 921,145 2,763,436 1,381,718 690,859 2,072,578 1,036,289 3,108,868 1,554,434 777,217 2,331,652 1,165,826 582,913 1,748,740 874,370 437,185 1,311,556 655,778 327,889 983,668 491,834 245,917 737,752 368,876 184,438 92,219 276,658 138,329 414,988 207,494 103,747 311,242 155,621 466,864 233,432 116,716 58,358 29,179 87,538 43,769 131,308 65,654 32,827 98,482 49,241 147,724 73,862 36,931 110,794 55,397 166,192 83,096

Active Feeder Network

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

Feeder #3,913,373 Feeder #8,365,252 Feeder #6,970,568 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174

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