λ
Ratio Atlas
Atlas › Integer Profiles › Node 54,005,232
54,005,232
24 × 3 × 1125109
Abundant Even Composite

Prime Factor Structure

Factorization String 2^4 × 3 × 1125109
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 20
Divisor Sum (σ) 139,513,640
Proper Divisor Sum 85,508,408
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #54005207 ← → #54005257

Radix Representation

Decimal 54005232
Binary 11001110000000110111110000 (26 bits)
Octal 0o316006760
Hexadecimal 0x3380DF0

Divisor Catalog (20)

1 2 3 4 6 8 12 16 24 48 1,125,109 2,250,218 3,375,327 4,500,436 6,750,654 9,000,872 13,501,308 18,001,744 27,002,616 54,005,232

Collatz Trajectory (256 steps to reach 1)

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

54,005,232 27,002,616 13,501,308 6,750,654 3,375,327 10,125,982 5,062,991 15,188,974 7,594,487 22,783,462 11,391,731 34,175,194 17,087,597 51,262,792 25,631,396 12,815,698 6,407,849 19,223,548 9,611,774 4,805,887 14,417,662 7,208,831 21,626,494 10,813,247 32,439,742 16,219,871 48,659,614 24,329,807 72,989,422 36,494,711 109,484,134 54,742,067 164,226,202 82,113,101 246,339,304 123,169,652 61,584,826 30,792,413 92,377,240 46,188,620 23,094,310 11,547,155 34,641,466 17,320,733 51,962,200 25,981,100 12,990,550 6,495,275 19,485,826 9,742,913 29,228,740 14,614,370 7,307,185 21,921,556 10,960,778 5,480,389 16,441,168 8,220,584 4,110,292 2,055,146

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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