λ
Ratio Atlas
Atlas › Integer Profiles › Node 44,586,178
44,586,178
2 × 72 × 13 × 79 × 443
Deficient Even Composite

Prime Factor Structure

Factorization String 2 × 7^2 × 13 × 79 × 443
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 85,034,880
Proper Divisor Sum 40,448,702
Digit Sum / Digital Root 43 (Root: 7)
Adjacent Primes #44586173 ← → #44586193

Radix Representation

Decimal 44586178
Binary 10101010000101010011000010 (26 bits)
Octal 0o252052302
Hexadecimal 0x2A854C2

Divisor Catalog (48)

1 2 7 13 14 26 49 79 91 98 158 182 443 553 637 886 1,027 1,106 1,274 2,054 3,101 3,871 5,759 6,202 7,189 7,742 11,518 14,378 21,707 34,997 40,313 43,414 50,323 69,994 80,626 100,646 244,979 282,191 454,961 489,958 564,382 909,922 1,714,853 3,184,727 3,429,706 6,369,454 22,293,089 44,586,178

Collatz Trajectory (191 steps to reach 1)

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

44,586,178 22,293,089 66,879,268 33,439,634 16,719,817 50,159,452 25,079,726 12,539,863 37,619,590 18,809,795 56,429,386 28,214,693 84,644,080 42,322,040 21,161,020 10,580,510 5,290,255 15,870,766 7,935,383 23,806,150 11,903,075 35,709,226 17,854,613 53,563,840 26,781,920 13,390,960 6,695,480 3,347,740 1,673,870 836,935 2,510,806 1,255,403 3,766,210 1,883,105 5,649,316 2,824,658 1,412,329 4,236,988 2,118,494 1,059,247 3,177,742 1,588,871 4,766,614 2,383,307 7,149,922 3,574,961 10,724,884 5,362,442 2,681,221 8,043,664 4,021,832 2,010,916 1,005,458 502,729 1,508,188 754,094 377,047 1,131,142 565,571 1,696,714

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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