2⁴ × 3³ × 13² × 29²

Prime Factor Structure

Factorization String 2^4 × 3^3 × 13^2 × 29^2

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 180

Divisor Sum (σ) 197,647,320

Proper Divisor Sum 136,247,592

Digit Sum / Digital Root 45 (Root: 9)

Adjacent Primes #61399727 ← → #61399799

Radix Representation

Decimal	61399728
Binary	11101010001110001010110000 (26 bits)
Octal	0o352161260
Hexadecimal	0x3A8E2B0

Divisor Catalog (60 of 180)

1 2 3 4 6 8 9 12 13 16 18 24 26 27 29 36 39 48 52 54 58 72 78 87 104 108 116 117 144 156 169 174 208 216 232 234 261 312 338 348 351 377 432 464 468 507 522 624 676 696 702 754 783 841 936 1,014 1,044 1,131 1,352 1,392

Collatz Trajectory (282 steps to reach 1)

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

61,399,728 30,699,864 15,349,932 7,674,966 3,837,483 11,512,450 5,756,225 17,268,676 8,634,338 4,317,169 12,951,508 6,475,754 3,237,877 9,713,632 4,856,816 2,428,408 1,214,204 607,102 303,551 910,654 455,327 1,365,982 682,991 2,048,974 1,024,487 3,073,462 1,536,731 4,610,194 2,305,097 6,915,292 3,457,646 1,728,823 5,186,470 2,593,235 7,779,706 3,889,853 11,669,560 5,834,780 2,917,390 1,458,695 4,376,086 2,188,043 6,564,130 3,282,065 9,846,196 4,923,098 2,461,549 7,384,648 3,692,324 1,846,162 923,081 2,769,244 1,384,622 692,311 2,076,934 1,038,467 3,115,402 1,557,701 4,673,104 2,336,552

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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