λ
Ratio Atlas
Atlas › Integer Profiles › Node 9,282,910
9,282,910
2 × 5 × 7 × 13 × 1012
Abundant Even Composite

Prime Factor Structure

Factorization String 2 × 5 × 7 × 13 × 101^2
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 20,770,848
Proper Divisor Sum 11,487,938
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #9282907 ← → #9282943

Radix Representation

Decimal 9282910
Binary 100011011010010101011110 (24 bits)
Octal 0o43322536
Hexadecimal 0x8DA55E

Divisor Catalog (48)

1 2 5 7 10 13 14 26 35 65 70 91 101 130 182 202 455 505 707 910 1,010 1,313 1,414 2,626 3,535 6,565 7,070 9,191 10,201 13,130 18,382 20,402 45,955 51,005 71,407 91,910 102,010 132,613 142,814 265,226 357,035 663,065 714,070 928,291 1,326,130 1,856,582 4,641,455 9,282,910

Collatz Trajectory (163 steps to reach 1)

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

9,282,910 4,641,455 13,924,366 6,962,183 20,886,550 10,443,275 31,329,826 15,664,913 46,994,740 23,497,370 11,748,685 35,246,056 17,623,028 8,811,514 4,405,757 13,217,272 6,608,636 3,304,318 1,652,159 4,956,478 2,478,239 7,434,718 3,717,359 11,152,078 5,576,039 16,728,118 8,364,059 25,092,178 12,546,089 37,638,268 18,819,134 9,409,567 28,228,702 14,114,351 42,343,054 21,171,527 63,514,582 31,757,291 95,271,874 47,635,937 142,907,812 71,453,906 35,726,953 107,180,860 53,590,430 26,795,215 80,385,646 40,192,823 120,578,470 60,289,235 180,867,706 90,433,853 271,301,560 135,650,780 67,825,390 33,912,695 101,738,086 50,869,043 152,607,130 76,303,565

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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