λ
Ratio Atlas
Atlas › Integer Profiles › Node 719,040
719,040
26 × 3 × 5 × 7 × 107
Abundant Even Composite

Prime Factor Structure

Factorization String 2^6 × 3 × 5 × 7 × 107
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 112
Divisor Sum (σ) 2,633,472
Proper Divisor Sum 1,914,432
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #719027 ← → #719041

Radix Representation

Decimal 719040
Binary 10101111100011000000 (20 bits)
Octal 0o2574300
Hexadecimal 0xAF8C0

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 96 105 107 112 120 140 160 168 192 210 214 224 240 280 320 321 336 420 428 448 480 535 560 642 672 749 840 856 960 1,070 1,120

Collatz Trajectory (92 steps to reach 1)

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

719,040 359,520 179,760 89,880 44,940 22,470 11,235 33,706 16,853 50,560 25,280 12,640 6,320 3,160 1,580 790 395 1,186 593 1,780 890 445 1,336 668 334 167 502 251 754 377 1,132 566 283 850 425 1,276 638 319 958 479 1,438 719 2,158 1,079 3,238 1,619 4,858 2,429 7,288 3,644 1,822 911 2,734 1,367 4,102 2,051 6,154 3,077 9,232 4,616

Active Feeder Network

Other feeder batches with open delivery windows. Each feeder keeps its own target batch.

Feeder #6,573,969 Feeder #2,443,427 Feeder #6,845,105 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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