λ
Ratio Atlas
Atlas › Integer Profiles › Node 52,845,398
52,845,398
2 × 23 × 37 × 61 × 509
Deficient Even Composite

Prime Factor Structure

Factorization String 2 × 23 × 37 × 61 × 509
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 86,512,320
Proper Divisor Sum 33,666,922
Digit Sum / Digital Root 44 (Root: 8)
Adjacent Primes #52845349 ← → #52845407

Radix Representation

Decimal 52845398
Binary 11001001100101101101010110 (26 bits)
Octal 0o311455526
Hexadecimal 0x3265B56

Divisor Catalog (32)

1 2 23 37 46 61 74 122 509 851 1,018 1,403 1,702 2,257 2,806 4,514 11,707 18,833 23,414 31,049 37,666 51,911 62,098 103,822 433,159 714,127 866,318 1,148,813 1,428,254 2,297,626 26,422,699 52,845,398

Collatz Trajectory (212 steps to reach 1)

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

52,845,398 26,422,699 79,268,098 39,634,049 118,902,148 59,451,074 29,725,537 89,176,612 44,588,306 22,294,153 66,882,460 33,441,230 16,720,615 50,161,846 25,080,923 75,242,770 37,621,385 112,864,156 56,432,078 28,216,039 84,648,118 42,324,059 126,972,178 63,486,089 190,458,268 95,229,134 47,614,567 142,843,702 71,421,851 214,265,554 107,132,777 321,398,332 160,699,166 80,349,583 241,048,750 120,524,375 361,573,126 180,786,563 542,359,690 271,179,845 813,539,536 406,769,768 203,384,884 101,692,442 50,846,221 152,538,664 76,269,332 38,134,666 19,067,333 57,202,000 28,601,000 14,300,500 7,150,250 3,575,125 10,725,376 5,362,688 2,681,344 1,340,672 670,336 335,168

Active Feeder Network

Other feeder batches with open delivery windows. Each feeder keeps its own target batch.

Feeder #8,365,252 Feeder #1,448,561 Feeder #6,970,568 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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