2² × 5 × 7 × 11 × 13 × 17

Prime Factor Structure

Factorization String 2^2 × 5 × 7 × 11 × 13 × 17

Distinct Prime Factors 6

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 96

Divisor Sum (σ) 1,016,064

Proper Divisor Sum 675,724

Digit Sum / Digital Root 14 (Root: 5)

Adjacent Primes #340339 ← → #340369

Radix Representation

Decimal	340340
Binary	1010011000101110100 (19 bits)
Octal	0o1230564
Hexadecimal	0x53174

Divisor Catalog (60 of 96)

1 2 4 5 7 10 11 13 14 17 20 22 26 28 34 35 44 52 55 65 68 70 77 85 91 110 119 130 140 143 154 170 182 187 220 221 238 260 286 308 340 364 374 385 442 455 476 572 595 715 748 770 884 910 935 1,001 1,105 1,190 1,309 1,430

Collatz Trajectory (60 steps to reach 1)

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

340,340 170,170 85,085 255,256 127,628 63,814 31,907 95,722 47,861 143,584 71,792 35,896 17,948 8,974 4,487 13,462 6,731 20,194 10,097 30,292 15,146 7,573 22,720 11,360 5,680 2,840 1,420 710 355 1,066 533 1,600 800 400 200 100 50 25 76 38 19 58 29 88 44 22 11 34 17 52 26 13 40 20 10 5 16 8 4 2

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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