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Ratio Atlas
Atlas › Integer Profiles › Node 42,012,128
42,012,128
25 × 397 × 3307
Deficient Even Composite

Prime Factor Structure

Factorization String 2^5 × 397 × 3307
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 82,944,792
Proper Divisor Sum 40,932,664
Digit Sum / Digital Root 20 (Root: 2)
Adjacent Primes #42012127 ← → #42012133

Radix Representation

Decimal 42012128
Binary 10100000010000110111100000 (26 bits)
Octal 0o240206740
Hexadecimal 0x2810DE0

Divisor Catalog (24)

1 2 4 8 16 32 397 794 1,588 3,176 3,307 6,352 6,614 12,704 13,228 26,456 52,912 105,824 1,312,879 2,625,758 5,251,516 10,503,032 21,006,064 42,012,128

Collatz Trajectory (178 steps to reach 1)

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

42,012,128 21,006,064 10,503,032 5,251,516 2,625,758 1,312,879 3,938,638 1,969,319 5,907,958 2,953,979 8,861,938 4,430,969 13,292,908 6,646,454 3,323,227 9,969,682 4,984,841 14,954,524 7,477,262 3,738,631 11,215,894 5,607,947 16,823,842 8,411,921 25,235,764 12,617,882 6,308,941 18,926,824 9,463,412 4,731,706 2,365,853 7,097,560 3,548,780 1,774,390 887,195 2,661,586 1,330,793 3,992,380 1,996,190 998,095 2,994,286 1,497,143 4,491,430 2,245,715 6,737,146 3,368,573 10,105,720 5,052,860 2,526,430 1,263,215 3,789,646 1,894,823 5,684,470 2,842,235 8,526,706 4,263,353 12,790,060 6,395,030 3,197,515 9,592,546

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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