2³ × 3⁵ × 7 × 31 × 137

Prime Factor Structure

Factorization String 2^3 × 3^5 × 7 × 31 × 137

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 192

Divisor Sum (σ) 192,890,880

Proper Divisor Sum 135,097,704

Digit Sum / Digital Root 45 (Root: 9)

Adjacent Primes #57793171 ← → #57793199

Radix Representation

Decimal	57793176
Binary	11011100011101101010011000 (26 bits)
Octal	0o334355230
Hexadecimal	0x371DA98

Divisor Catalog (60 of 192)

1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 31 36 42 54 56 62 63 72 81 84 93 108 124 126 137 162 168 186 189 216 217 243 248 252 274 279 324 372 378 411 434 486 504 548 558 567 648 651 744 756 822 837 868 959 972

Collatz Trajectory (238 steps to reach 1)

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

57,793,176 28,896,588 14,448,294 7,224,147 21,672,442 10,836,221 32,508,664 16,254,332 8,127,166 4,063,583 12,190,750 6,095,375 18,286,126 9,143,063 27,429,190 13,714,595 41,143,786 20,571,893 61,715,680 30,857,840 15,428,920 7,714,460 3,857,230 1,928,615 5,785,846 2,892,923 8,678,770 4,339,385 13,018,156 6,509,078 3,254,539 9,763,618 4,881,809 14,645,428 7,322,714 3,661,357 10,984,072 5,492,036 2,746,018 1,373,009 4,119,028 2,059,514 1,029,757 3,089,272 1,544,636 772,318 386,159 1,158,478 579,239 1,737,718 868,859 2,606,578 1,303,289 3,909,868 1,954,934 977,467 2,932,402 1,466,201 4,398,604 2,199,302

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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