λ
Ratio Atlas
Atlas › Integer Profiles › Node 12,901,470
12,901,470
2 × 3 × 5 × 17 × 41 × 617
Abundant Even Composite

Prime Factor Structure

Factorization String 2 × 3 × 5 × 17 × 41 × 617
Distinct Prime Factors 6
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 33,638,976
Proper Divisor Sum 20,737,506
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #12901457 ← → #12901501

Radix Representation

Decimal 12901470
Binary 110001001101110001011110 (24 bits)
Octal 0o61156136
Hexadecimal 0xC4DC5E

Divisor Catalog (60 of 64)

1 2 3 5 6 10 15 17 30 34 41 51 82 85 102 123 170 205 246 255 410 510 615 617 697 1,230 1,234 1,394 1,851 2,091 3,085 3,485 3,702 4,182 6,170 6,970 9,255 10,455 10,489 18,510 20,910 20,978 25,297 31,467 50,594 52,445 62,934 75,891 104,890 126,485 151,782 157,335 252,970 314,670 379,455 430,049 758,910 860,098 1,290,147 2,150,245

Collatz Trajectory (197 steps to reach 1)

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

12,901,470 6,450,735 19,352,206 9,676,103 29,028,310 14,514,155 43,542,466 21,771,233 65,313,700 32,656,850 16,328,425 48,985,276 24,492,638 12,246,319 36,738,958 18,369,479 55,108,438 27,554,219 82,662,658 41,331,329 123,993,988 61,996,994 30,998,497 92,995,492 46,497,746 23,248,873 69,746,620 34,873,310 17,436,655 52,309,966 26,154,983 78,464,950 39,232,475 117,697,426 58,848,713 176,546,140 88,273,070 44,136,535 132,409,606 66,204,803 198,614,410 99,307,205 297,921,616 148,960,808 74,480,404 37,240,202 18,620,101 55,860,304 27,930,152 13,965,076 6,982,538 3,491,269 10,473,808 5,236,904 2,618,452 1,309,226 654,613 1,963,840 981,920 490,960

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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