λ
Ratio Atlas
Atlas › Integer Profiles › Node 1,162,560
1,162,560
26 × 3 × 5 × 7 × 173
Abundant Even Composite

Prime Factor Structure

Factorization String 2^6 × 3 × 5 × 7 × 173
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 112
Divisor Sum (σ) 4,242,816
Proper Divisor Sum 3,080,256
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #1162559 ← → #1162571

Radix Representation

Decimal 1162560
Binary 100011011110101000000 (21 bits)
Octal 0o4336500
Hexadecimal 0x11BD40

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 96 105 112 120 140 160 168 173 192 210 224 240 280 320 336 346 420 448 480 519 560 672 692 840 865 960 1,038 1,120 1,211 1,344 1,384

Collatz Trajectory (72 steps to reach 1)

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

1,162,560 581,280 290,640 145,320 72,660 36,330 18,165 54,496 27,248 13,624 6,812 3,406 1,703 5,110 2,555 7,666 3,833 11,500 5,750 2,875 8,626 4,313 12,940 6,470 3,235 9,706 4,853 14,560 7,280 3,640 1,820 910 455 1,366 683 2,050 1,025 3,076 1,538 769 2,308 1,154 577 1,732 866 433 1,300 650 325 976 488 244 122 61 184 92 46 23 70 35

Active Feeder Network

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

Feeder #6,573,969 Feeder #6,845,105 Feeder #8,750,980 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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