2³ × 5² × 7 × 13 × 71

Prime Factor Structure

Factorization String 2^3 × 5^2 × 7 × 13 × 71

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 96

Divisor Sum (σ) 3,749,760

Proper Divisor Sum 2,457,560

Digit Sum / Digital Root 16 (Root: 7)

Adjacent Primes #1292177 ← → #1292219

Radix Representation

Decimal	1292200
Binary	100111011011110101000 (21 bits)
Octal	0o4733650
Hexadecimal	0x13B7A8

Divisor Catalog (60 of 96)

1 2 4 5 7 8 10 13 14 20 25 26 28 35 40 50 52 56 65 70 71 91 100 104 130 140 142 175 182 200 260 280 284 325 350 355 364 455 497 520 568 650 700 710 728 910 923 994 1,300 1,400 1,420 1,775 1,820 1,846 1,988 2,275 2,485 2,600 2,840 3,550

Collatz Trajectory (155 steps to reach 1)

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

1,292,200 646,100 323,050 161,525 484,576 242,288 121,144 60,572 30,286 15,143 45,430 22,715 68,146 34,073 102,220 51,110 25,555 76,666 38,333 115,000 57,500 28,750 14,375 43,126 21,563 64,690 32,345 97,036 48,518 24,259 72,778 36,389 109,168 54,584 27,292 13,646 6,823 20,470 10,235 30,706 15,353 46,060 23,030 11,515 34,546 17,273 51,820 25,910 12,955 38,866 19,433 58,300 29,150 14,575 43,726 21,863 65,590 32,795 98,386 49,193

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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