λ
Ratio Atlas
Atlas › Integer Profiles › Node 42,962,096
42,962,096
24 × 41 × 79 × 829
Abundant Even Composite

Prime Factor Structure

Factorization String 2^4 × 41 × 79 × 829
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 86,452,800
Proper Divisor Sum 43,490,704
Digit Sum / Digital Root 38 (Root: 2)
Adjacent Primes #42962093 ← → #42962099

Radix Representation

Decimal 42962096
Binary 10100011111000110010110000 (26 bits)
Octal 0o243706260
Hexadecimal 0x28F8CB0

Divisor Catalog (40)

1 2 4 8 16 41 79 82 158 164 316 328 632 656 829 1,264 1,658 3,239 3,316 6,478 6,632 12,956 13,264 25,912 33,989 51,824 65,491 67,978 130,982 135,956 261,964 271,912 523,928 543,824 1,047,856 2,685,131 5,370,262 10,740,524 21,481,048 42,962,096

Collatz Trajectory (98 steps to reach 1)

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

42,962,096 21,481,048 10,740,524 5,370,262 2,685,131 8,055,394 4,027,697 12,083,092 6,041,546 3,020,773 9,062,320 4,531,160 2,265,580 1,132,790 566,395 1,699,186 849,593 2,548,780 1,274,390 637,195 1,911,586 955,793 2,867,380 1,433,690 716,845 2,150,536 1,075,268 537,634 268,817 806,452 403,226 201,613 604,840 302,420 151,210 75,605 226,816 113,408 56,704 28,352 14,176 7,088 3,544 1,772 886 443 1,330 665 1,996 998 499 1,498 749 2,248 1,124 562 281 844 422 211

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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