λ
Ratio Atlas
Atlas › Integer Profiles › Node 12,487,590
12,487,590
2 × 32 × 5 × 89 × 1559
Abundant Even Composite

Prime Factor Structure

Factorization String 2 × 3^2 × 5 × 89 × 1559
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 32,853,600
Proper Divisor Sum 20,366,010
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #12487589 ← → #12487619

Radix Representation

Decimal 12487590
Binary 101111101000101110100110 (24 bits)
Octal 0o57505646
Hexadecimal 0xBE8BA6

Divisor Catalog (48)

1 2 3 5 6 9 10 15 18 30 45 89 90 178 267 445 534 801 890 1,335 1,559 1,602 2,670 3,118 4,005 4,677 7,795 8,010 9,354 14,031 15,590 23,385 28,062 46,770 70,155 138,751 140,310 277,502 416,253 693,755 832,506 1,248,759 1,387,510 2,081,265 2,497,518 4,162,530 6,243,795 12,487,590

Collatz Trajectory (158 steps to reach 1)

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

12,487,590 6,243,795 18,731,386 9,365,693 28,097,080 14,048,540 7,024,270 3,512,135 10,536,406 5,268,203 15,804,610 7,902,305 23,706,916 11,853,458 5,926,729 17,780,188 8,890,094 4,445,047 13,335,142 6,667,571 20,002,714 10,001,357 30,004,072 15,002,036 7,501,018 3,750,509 11,251,528 5,625,764 2,812,882 1,406,441 4,219,324 2,109,662 1,054,831 3,164,494 1,582,247 4,746,742 2,373,371 7,120,114 3,560,057 10,680,172 5,340,086 2,670,043 8,010,130 4,005,065 12,015,196 6,007,598 3,003,799 9,011,398 4,505,699 13,517,098 6,758,549 20,275,648 10,137,824 5,068,912 2,534,456 1,267,228 633,614 316,807 950,422 475,211

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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