λ
Ratio Atlas
Atlas › Integer Profiles › Node 20,121,468
20,121,468
22 × 3 × 191 × 8779
Abundant Even Composite

Prime Factor Structure

Factorization String 2^2 × 3 × 191 × 8779
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 47,201,280
Proper Divisor Sum 27,079,812
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #20121467 ← → #20121533

Radix Representation

Decimal 20121468
Binary 1001100110000011101111100 (25 bits)
Octal 0o114603574
Hexadecimal 0x133077C

Divisor Catalog (24)

1 2 3 4 6 12 191 382 573 764 1,146 2,292 8,779 17,558 26,337 35,116 52,674 105,348 1,676,789 3,353,578 5,030,367 6,707,156 10,060,734 20,121,468

Collatz Trajectory (120 steps to reach 1)

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

20,121,468 10,060,734 5,030,367 15,091,102 7,545,551 22,636,654 11,318,327 33,954,982 16,977,491 50,932,474 25,466,237 76,398,712 38,199,356 19,099,678 9,549,839 28,649,518 14,324,759 42,974,278 21,487,139 64,461,418 32,230,709 96,692,128 48,346,064 24,173,032 12,086,516 6,043,258 3,021,629 9,064,888 4,532,444 2,266,222 1,133,111 3,399,334 1,699,667 5,099,002 2,549,501 7,648,504 3,824,252 1,912,126 956,063 2,868,190 1,434,095 4,302,286 2,151,143 6,453,430 3,226,715 9,680,146 4,840,073 14,520,220 7,260,110 3,630,055 10,890,166 5,445,083 16,335,250 8,167,625 24,502,876 12,251,438 6,125,719 18,377,158 9,188,579 27,565,738

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 #1,448,561 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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