λ
Ratio Atlas
Atlas › Integer Profiles › Node 20,121,464
20,121,464
23 × 11 × 137 × 1669
Abundant Even Composite

Prime Factor Structure

Factorization String 2^3 × 11 × 137 × 1669
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 41,482,800
Proper Divisor Sum 21,361,336
Digit Sum / Digital Root 20 (Root: 2)
Adjacent Primes #20121433 ← → #20121467

Radix Representation

Decimal 20121464
Binary 1001100110000011101111000 (25 bits)
Octal 0o114603570
Hexadecimal 0x1330778

Divisor Catalog (32)

1 2 4 8 11 22 44 88 137 274 548 1,096 1,507 1,669 3,014 3,338 6,028 6,676 12,056 13,352 18,359 36,718 73,436 146,872 228,653 457,306 914,612 1,829,224 2,515,183 5,030,366 10,060,732 20,121,464

Collatz Trajectory (120 steps to reach 1)

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

20,121,464 10,060,732 5,030,366 2,515,183 7,545,550 3,772,775 11,318,326 5,659,163 16,977,490 8,488,745 25,466,236 12,733,118 6,366,559 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 #6,573,969 Feeder #6,845,105 Feeder #8,750,980 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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