2³ × 3³ × 11² × 13

Prime Factor Structure

Factorization String 2^3 × 3^3 × 11^2 × 13

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 96

Divisor Sum (σ) 1,117,200

Proper Divisor Sum 777,432

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #339761 ← → #339769

Radix Representation

Decimal	339768
Binary	1010010111100111000 (19 bits)
Octal	0o1227470
Hexadecimal	0x52F38

Divisor Catalog (60 of 96)

1 2 3 4 6 8 9 11 12 13 18 22 24 26 27 33 36 39 44 52 54 66 72 78 88 99 104 108 117 121 132 143 156 198 216 234 242 264 286 297 312 351 363 396 429 468 484 572 594 702 726 792 858 936 968 1,089 1,144 1,188 1,287 1,404

Collatz Trajectory (109 steps to reach 1)

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

339,768 169,884 84,942 42,471 127,414 63,707 191,122 95,561 286,684 143,342 71,671 215,014 107,507 322,522 161,261 483,784 241,892 120,946 60,473 181,420 90,710 45,355 136,066 68,033 204,100 102,050 51,025 153,076 76,538 38,269 114,808 57,404 28,702 14,351 43,054 21,527 64,582 32,291 96,874 48,437 145,312 72,656 36,328 18,164 9,082 4,541 13,624 6,812 3,406 1,703 5,110 2,555 7,666 3,833 11,500 5,750 2,875 8,626 4,313 12,940

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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