2⁷ × 3 × 5 × 7 × 67

Prime Factor Structure

Factorization String 2^7 × 3 × 5 × 7 × 67

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 128

Divisor Sum (σ) 3,329,280

Proper Divisor Sum 2,428,800

Digit Sum / Digital Root 21 (Root: 3)

Adjacent Primes #900461 ← → #900481

Radix Representation

Decimal	900480
Binary	11011011110110000000 (20 bits)
Octal	0o3336600
Hexadecimal	0xDBD80

Divisor Catalog (60 of 128)

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 67 70 80 84 96 105 112 120 128 134 140 160 168 192 201 210 224 240 268 280 320 335 336 384 402 420 448 469 480 536 560 640 670 672

Collatz Trajectory (113 steps to reach 1)

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

900,480 450,240 225,120 112,560 56,280 28,140 14,070 7,035 21,106 10,553 31,660 15,830 7,915 23,746 11,873 35,620 17,810 8,905 26,716 13,358 6,679 20,038 10,019 30,058 15,029 45,088 22,544 11,272 5,636 2,818 1,409 4,228 2,114 1,057 3,172 1,586 793 2,380 1,190 595 1,786 893 2,680 1,340 670 335 1,006 503 1,510 755 2,266 1,133 3,400 1,700 850 425 1,276 638 319 958

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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