2³ × 3⁴ × 7 × 29 × 61

Prime Factor Structure

Factorization String 2^3 × 3^4 × 7 × 29 × 61

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 160

Divisor Sum (σ) 27,007,200

Proper Divisor Sum 18,983,016

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #8024167 ← → #8024189

Radix Representation

Decimal	8024184
Binary	11110100111000001111000 (23 bits)
Octal	0o36470170
Hexadecimal	0x7A7078

Divisor Catalog (60 of 160)

1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 29 36 42 54 56 58 61 63 72 81 84 87 108 116 122 126 162 168 174 183 189 203 216 232 244 252 261 324 348 366 378 406 427 488 504 522 549 567 609 648 696 732 756 783 812

Collatz Trajectory (155 steps to reach 1)

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

8,024,184 4,012,092 2,006,046 1,003,023 3,009,070 1,504,535 4,513,606 2,256,803 6,770,410 3,385,205 10,155,616 5,077,808 2,538,904 1,269,452 634,726 317,363 952,090 476,045 1,428,136 714,068 357,034 178,517 535,552 267,776 133,888 66,944 33,472 16,736 8,368 4,184 2,092 1,046 523 1,570 785 2,356 1,178 589 1,768 884 442 221 664 332 166 83 250 125 376 188 94 47 142 71 214 107 322 161 484 242

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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