2⁶ × 3 × 5 × 7 × 421

Prime Factor Structure

Factorization String 2^6 × 3 × 5 × 7 × 421

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 112

Divisor Sum (σ) 10,290,048

Proper Divisor Sum 7,460,928

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #2829107 ← → #2829121

Radix Representation

Decimal	2829120
Binary	1010110010101101000000 (22 bits)
Octal	0o12625500
Hexadecimal	0x2B2B40

Divisor Catalog (60 of 112)

1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 56 60 64 70 80 84 96 105 112 120 140 160 168 192 210 224 240 280 320 336 420 421 448 480 560 672 840 842 960 1,120 1,263 1,344 1,680 1,684 2,105 2,240 2,526

Collatz Trajectory (125 steps to reach 1)

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

2,829,120 1,414,560 707,280 353,640 176,820 88,410 44,205 132,616 66,308 33,154 16,577 49,732 24,866 12,433 37,300 18,650 9,325 27,976 13,988 6,994 3,497 10,492 5,246 2,623 7,870 3,935 11,806 5,903 17,710 8,855 26,566 13,283 39,850 19,925 59,776 29,888 14,944 7,472 3,736 1,868 934 467 1,402 701 2,104 1,052 526 263 790 395 1,186 593 1,780 890 445 1,336 668 334 167 502

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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