λ
Ratio Atlas
Atlas › Integer Profiles › Node 20,121,465
20,121,465
3 × 5 × 7 × 13 × 14741
Deficient Odd Composite

Prime Factor Structure

Factorization String 3 × 5 × 7 × 13 × 14741
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 39,626,496
Proper Divisor Sum 19,505,031
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #20121433 ← → #20121467

Radix Representation

Decimal 20121465
Binary 1001100110000011101111001 (25 bits)
Octal 0o114603571
Hexadecimal 0x1330779

Divisor Catalog (32)

1 3 5 7 13 15 21 35 39 65 91 105 195 273 455 1,365 14,741 44,223 73,705 103,187 191,633 221,115 309,561 515,935 574,899 958,165 1,341,431 1,547,805 2,874,495 4,024,293 6,707,155 20,121,465

Collatz Trajectory (120 steps to reach 1)

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

20,121,465 60,364,396 30,182,198 15,091,099 45,273,298 22,636,649 67,909,948 33,954,974 16,977,487 50,932,462 25,466,231 76,398,694 38,199,347 114,598,042 57,299,021 171,897,064 85,948,532 42,974,266 21,487,133 64,461,400 32,230,700 16,115,350 8,057,675 24,173,026 12,086,513 36,259,540 18,129,770 9,064,885 27,194,656 13,597,328 6,798,664 3,399,332 1,699,666 849,833 2,549,500 1,274,750 637,375 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 #6,573,969 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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