λ
Ratio Atlas
Atlas › Integer Profiles › Node 26,982,012
26,982,012
22 × 3 × 199 × 11299
Abundant Even Composite

Prime Factor Structure

Factorization String 2^2 × 3 × 199 × 11299
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 63,280,000
Proper Divisor Sum 36,297,988
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #26982001 ← → #26982017

Radix Representation

Decimal 26982012
Binary 1100110111011011001111100 (25 bits)
Octal 0o146733174
Hexadecimal 0x19BB67C

Divisor Catalog (24)

1 2 3 4 6 12 199 398 597 796 1,194 2,388 11,299 22,598 33,897 45,196 67,794 135,588 2,248,501 4,497,002 6,745,503 8,994,004 13,491,006 26,982,012

Collatz Trajectory (211 steps to reach 1)

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

26,982,012 13,491,006 6,745,503 20,236,510 10,118,255 30,354,766 15,177,383 45,532,150 22,766,075 68,298,226 34,149,113 102,447,340 51,223,670 25,611,835 76,835,506 38,417,753 115,253,260 57,626,630 28,813,315 86,439,946 43,219,973 129,659,920 64,829,960 32,414,980 16,207,490 8,103,745 24,311,236 12,155,618 6,077,809 18,233,428 9,116,714 4,558,357 13,675,072 6,837,536 3,418,768 1,709,384 854,692 427,346 213,673 641,020 320,510 160,255 480,766 240,383 721,150 360,575 1,081,726 540,863 1,622,590 811,295 2,433,886 1,216,943 3,650,830 1,825,415 5,476,246 2,738,123 8,214,370 4,107,185 12,321,556 6,160,778

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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