2² × 3⁴ × 13² × 17 × 53

Prime Factor Structure

Factorization String 2^2 × 3^4 × 13^2 × 17 × 53

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 180

Divisor Sum (σ) 150,660,972

Proper Divisor Sum 101,325,816

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #49335149 ← → #49335157

Radix Representation

Decimal	49335156
Binary	10111100001100101101110100 (26 bits)
Octal	0o274145564
Hexadecimal	0x2F0CB74

Divisor Catalog (60 of 180)

1 2 3 4 6 9 12 13 17 18 26 27 34 36 39 51 52 53 54 68 78 81 102 106 108 117 153 156 159 162 169 204 212 221 234 306 318 324 338 351 442 459 468 477 507 612 636 663 676 689 702 884 901 918 954 1,014 1,053 1,326 1,377 1,378

Collatz Trajectory (191 steps to reach 1)

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

49,335,156 24,667,578 12,333,789 37,001,368 18,500,684 9,250,342 4,625,171 13,875,514 6,937,757 20,813,272 10,406,636 5,203,318 2,601,659 7,804,978 3,902,489 11,707,468 5,853,734 2,926,867 8,780,602 4,390,301 13,170,904 6,585,452 3,292,726 1,646,363 4,939,090 2,469,545 7,408,636 3,704,318 1,852,159 5,556,478 2,778,239 8,334,718 4,167,359 12,502,078 6,251,039 18,753,118 9,376,559 28,129,678 14,064,839 42,194,518 21,097,259 63,291,778 31,645,889 94,937,668 47,468,834 23,734,417 71,203,252 35,601,626 17,800,813 53,402,440 26,701,220 13,350,610 6,675,305 20,025,916 10,012,958 5,006,479 15,019,438 7,509,719 22,529,158 11,264,579

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 #6,573,969 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174

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