λ
Ratio Atlas
Atlas › Integer Profiles › Node 2,811,390
2,811,390
2 × 3 × 5 × 31 × 3023
Abundant Even Composite

Prime Factor Structure

Factorization String 2 × 3 × 5 × 31 × 3023
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 6,967,296
Proper Divisor Sum 4,155,906
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #2811379 ← → #2811397

Radix Representation

Decimal 2811390
Binary 1010101110010111111110 (22 bits)
Octal 0o12562776
Hexadecimal 0x2AE5FE

Divisor Catalog (32)

1 2 3 5 6 10 15 30 31 62 93 155 186 310 465 930 3,023 6,046 9,069 15,115 18,138 30,230 45,345 90,690 93,713 187,426 281,139 468,565 562,278 937,130 1,405,695 2,811,390

Collatz Trajectory (218 steps to reach 1)

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

2,811,390 1,405,695 4,217,086 2,108,543 6,325,630 3,162,815 9,488,446 4,744,223 14,232,670 7,116,335 21,349,006 10,674,503 32,023,510 16,011,755 48,035,266 24,017,633 72,052,900 36,026,450 18,013,225 54,039,676 27,019,838 13,509,919 40,529,758 20,264,879 60,794,638 30,397,319 91,191,958 45,595,979 136,787,938 68,393,969 205,181,908 102,590,954 51,295,477 153,886,432 76,943,216 38,471,608 19,235,804 9,617,902 4,808,951 14,426,854 7,213,427 21,640,282 10,820,141 32,460,424 16,230,212 8,115,106 4,057,553 12,172,660 6,086,330 3,043,165 9,129,496 4,564,748 2,282,374 1,141,187 3,423,562 1,711,781 5,135,344 2,567,672 1,283,836 641,918

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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