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Ratio Atlas
Atlas › Integer Profiles › Node 42,192,575
42,192,575
52 × 97 × 127 × 137
Deficient Odd Composite

Prime Factor Structure

Factorization String 5^2 × 97 × 127 × 137
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 53,663,232
Proper Divisor Sum 11,470,657
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #42192569 ← → #42192583

Radix Representation

Decimal 42192575
Binary 10100000111100111010111111 (26 bits)
Octal 0o240747277
Hexadecimal 0x283CEBF

Divisor Catalog (24)

1 5 25 97 127 137 485 635 685 2,425 3,175 3,425 12,319 13,289 17,399 61,595 66,445 86,995 307,975 332,225 434,975 1,687,703 8,438,515 42,192,575

Collatz Trajectory (152 steps to reach 1)

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

42,192,575 126,577,726 63,288,863 189,866,590 94,933,295 284,799,886 142,399,943 427,199,830 213,599,915 640,799,746 320,399,873 961,199,620 480,599,810 240,299,905 720,899,716 360,449,858 180,224,929 540,674,788 270,337,394 135,168,697 405,506,092 202,753,046 101,376,523 304,129,570 152,064,785 456,194,356 228,097,178 114,048,589 342,145,768 171,072,884 85,536,442 42,768,221 128,304,664 64,152,332 32,076,166 16,038,083 48,114,250 24,057,125 72,171,376 36,085,688 18,042,844 9,021,422 4,510,711 13,532,134 6,766,067 20,298,202 10,149,101 30,447,304 15,223,652 7,611,826 3,805,913 11,417,740 5,708,870 2,854,435 8,563,306 4,281,653 12,844,960 6,422,480 3,211,240 1,605,620

Active Feeder Network

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

Feeder #3,913,373 Feeder #8,365,252 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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