λ
Ratio Atlas
Atlas › Integer Profiles › Node 21,189,252
21,189,252
22 × 3 × 7 × 252253
Abundant Even Composite

Prime Factor Structure

Factorization String 2^2 × 3 × 7 × 252253
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 56,504,896
Proper Divisor Sum 35,315,644
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #21189229 ← → #21189281

Radix Representation

Decimal 21189252
Binary 1010000110101001010000100 (25 bits)
Octal 0o120651204
Hexadecimal 0x1435284

Divisor Catalog (24)

1 2 3 4 6 7 12 14 21 28 42 84 252,253 504,506 756,759 1,009,012 1,513,518 1,765,771 3,027,036 3,531,542 5,297,313 7,063,084 10,594,626 21,189,252

Collatz Trajectory (190 steps to reach 1)

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

21,189,252 10,594,626 5,297,313 15,891,940 7,945,970 3,972,985 11,918,956 5,959,478 2,979,739 8,939,218 4,469,609 13,408,828 6,704,414 3,352,207 10,056,622 5,028,311 15,084,934 7,542,467 22,627,402 11,313,701 33,941,104 16,970,552 8,485,276 4,242,638 2,121,319 6,363,958 3,181,979 9,545,938 4,772,969 14,318,908 7,159,454 3,579,727 10,739,182 5,369,591 16,108,774 8,054,387 24,163,162 12,081,581 36,244,744 18,122,372 9,061,186 4,530,593 13,591,780 6,795,890 3,397,945 10,193,836 5,096,918 2,548,459 7,645,378 3,822,689 11,468,068 5,734,034 2,867,017 8,601,052 4,300,526 2,150,263 6,450,790 3,225,395 9,676,186 4,838,093

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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