λ
Ratio Atlas
Atlas › Integer Profiles › Node 42,028,024
42,028,024
23 × 61 × 71 × 1213
Deficient Even Composite

Prime Factor Structure

Factorization String 2^3 × 61 × 71 × 1213
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 81,289,440
Proper Divisor Sum 39,261,416
Digit Sum / Digital Root 22 (Root: 4)
Adjacent Primes #42028013 ← → #42028031

Radix Representation

Decimal 42028024
Binary 10100000010100101111111000 (26 bits)
Octal 0o240245770
Hexadecimal 0x2814BF8

Divisor Catalog (32)

1 2 4 8 61 71 122 142 244 284 488 568 1,213 2,426 4,331 4,852 8,662 9,704 17,324 34,648 73,993 86,123 147,986 172,246 295,972 344,492 591,944 688,984 5,253,503 10,507,006 21,014,012 42,028,024

Collatz Trajectory (160 steps to reach 1)

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

42,028,024 21,014,012 10,507,006 5,253,503 15,760,510 7,880,255 23,640,766 11,820,383 35,461,150 17,730,575 53,191,726 26,595,863 79,787,590 39,893,795 119,681,386 59,840,693 179,522,080 89,761,040 44,880,520 22,440,260 11,220,130 5,610,065 16,830,196 8,415,098 4,207,549 12,622,648 6,311,324 3,155,662 1,577,831 4,733,494 2,366,747 7,100,242 3,550,121 10,650,364 5,325,182 2,662,591 7,987,774 3,993,887 11,981,662 5,990,831 17,972,494 8,986,247 26,958,742 13,479,371 40,438,114 20,219,057 60,657,172 30,328,586 15,164,293 45,492,880 22,746,440 11,373,220 5,686,610 2,843,305 8,529,916 4,264,958 2,132,479 6,397,438 3,198,719 9,596,158

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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