λ
Ratio Atlas
Atlas › Integer Profiles › Node 44,442,012
44,442,012
22 × 3 × 17 × 131 × 1663
Abundant Even Composite

Prime Factor Structure

Factorization String 2^2 × 3 × 17 × 131 × 1663
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 110,702,592
Proper Divisor Sum 66,260,580
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #44442011 ← → #44442017

Radix Representation

Decimal 44442012
Binary 10101001100010000110011100 (26 bits)
Octal 0o251420634
Hexadecimal 0x2A6219C

Divisor Catalog (48)

1 2 3 4 6 12 17 34 51 68 102 131 204 262 393 524 786 1,572 1,663 2,227 3,326 4,454 4,989 6,652 6,681 8,908 9,978 13,362 19,956 26,724 28,271 56,542 84,813 113,084 169,626 217,853 339,252 435,706 653,559 871,412 1,307,118 2,614,236 3,703,501 7,407,002 11,110,503 14,814,004 22,221,006 44,442,012

Collatz Trajectory (217 steps to reach 1)

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

44,442,012 22,221,006 11,110,503 33,331,510 16,665,755 49,997,266 24,998,633 74,995,900 37,497,950 18,748,975 56,246,926 28,123,463 84,370,390 42,185,195 126,555,586 63,277,793 189,833,380 94,916,690 47,458,345 142,375,036 71,187,518 35,593,759 106,781,278 53,390,639 160,171,918 80,085,959 240,257,878 120,128,939 360,386,818 180,193,409 540,580,228 270,290,114 135,145,057 405,435,172 202,717,586 101,358,793 304,076,380 152,038,190 76,019,095 228,057,286 114,028,643 342,085,930 171,042,965 513,128,896 256,564,448 128,282,224 64,141,112 32,070,556 16,035,278 8,017,639 24,052,918 12,026,459 36,079,378 18,039,689 54,119,068 27,059,534 13,529,767 40,589,302 20,294,651 60,883,954

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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