2³ × 7 × 11 × 17 × 19 × 29

Prime Factor Structure

Factorization String 2^3 × 7 × 11 × 17 × 19 × 29

Distinct Prime Factors 6

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 128

Divisor Sum (σ) 15,552,000

Proper Divisor Sum 9,781,928

Digit Sum / Digital Root 28 (Root: 1)

Adjacent Primes #5770031 ← → #5770073

Radix Representation

Decimal	5770072
Binary	10110000000101101011000 (23 bits)
Octal	0o26005530
Hexadecimal	0x580B58

Divisor Catalog (60 of 128)

1 2 4 7 8 11 14 17 19 22 28 29 34 38 44 56 58 68 76 77 88 116 119 133 136 152 154 187 203 209 232 238 266 308 319 323 374 406 418 476 493 532 551 616 638 646 748 812 836 952 986 1,064 1,102 1,276 1,292 1,309 1,463 1,496 1,624 1,672

Collatz Trajectory (214 steps to reach 1)

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

5,770,072 2,885,036 1,442,518 721,259 2,163,778 1,081,889 3,245,668 1,622,834 811,417 2,434,252 1,217,126 608,563 1,825,690 912,845 2,738,536 1,369,268 684,634 342,317 1,026,952 513,476 256,738 128,369 385,108 192,554 96,277 288,832 144,416 72,208 36,104 18,052 9,026 4,513 13,540 6,770 3,385 10,156 5,078 2,539 7,618 3,809 11,428 5,714 2,857 8,572 4,286 2,143 6,430 3,215 9,646 4,823 14,470 7,235 21,706 10,853 32,560 16,280 8,140 4,070 2,035 6,106

Active Feeder Network

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

Feeder #7,737,779 Feeder #685,881 Feeder #2,871,188 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174

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