2³ × 3² × 5 × 19 × 457

Prime Factor Structure

Factorization String 2^3 × 3^2 × 5 × 19 × 457

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 96

Divisor Sum (σ) 10,717,200

Proper Divisor Sum 7,591,320

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #3125873 ← → #3125893

Radix Representation

Decimal	3125880
Binary	1011111011001001111000 (22 bits)
Octal	0o13731170
Hexadecimal	0x2FB278

Divisor Catalog (60 of 96)

1 2 3 4 5 6 8 9 10 12 15 18 19 20 24 30 36 38 40 45 57 60 72 76 90 95 114 120 152 171 180 190 228 285 342 360 380 456 457 570 684 760 855 914 1,140 1,368 1,371 1,710 1,828 2,280 2,285 2,742 3,420 3,656 4,113 4,570 5,484 6,840 6,855 8,226

Collatz Trajectory (107 steps to reach 1)

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

3,125,880 1,562,940 781,470 390,735 1,172,206 586,103 1,758,310 879,155 2,637,466 1,318,733 3,956,200 1,978,100 989,050 494,525 1,483,576 741,788 370,894 185,447 556,342 278,171 834,514 417,257 1,251,772 625,886 312,943 938,830 469,415 1,408,246 704,123 2,112,370 1,056,185 3,168,556 1,584,278 792,139 2,376,418 1,188,209 3,564,628 1,782,314 891,157 2,673,472 1,336,736 668,368 334,184 167,092 83,546 41,773 125,320 62,660 31,330 15,665 46,996 23,498 11,749 35,248 17,624 8,812 4,406 2,203 6,610 3,305

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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