λ
Ratio Atlas
Atlas › Integer Profiles › Node 2,122,008
2,122,008
23 × 3 × 7 × 17 × 743
Abundant Even Composite

Prime Factor Structure

Factorization String 2^3 × 3 × 7 × 17 × 743
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 6,428,160
Proper Divisor Sum 4,306,152
Digit Sum / Digital Root 15 (Root: 6)
Adjacent Primes #2121989 ← → #2122009

Radix Representation

Decimal 2122008
Binary 1000000110000100011000 (22 bits)
Octal 0o10060430
Hexadecimal 0x206118

Divisor Catalog (60 of 64)

1 2 3 4 6 7 8 12 14 17 21 24 28 34 42 51 56 68 84 102 119 136 168 204 238 357 408 476 714 743 952 1,428 1,486 2,229 2,856 2,972 4,458 5,201 5,944 8,916 10,402 12,631 15,603 17,832 20,804 25,262 31,206 37,893 41,608 50,524 62,412 75,786 88,417 101,048 124,824 151,572 176,834 265,251 303,144 353,668

Collatz Trajectory (122 steps to reach 1)

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

2,122,008 1,061,004 530,502 265,251 795,754 397,877 1,193,632 596,816 298,408 149,204 74,602 37,301 111,904 55,952 27,976 13,988 6,994 3,497 10,492 5,246 2,623 7,870 3,935 11,806 5,903 17,710 8,855 26,566 13,283 39,850 19,925 59,776 29,888 14,944 7,472 3,736 1,868 934 467 1,402 701 2,104 1,052 526 263 790 395 1,186 593 1,780 890 445 1,336 668 334 167 502 251 754 377

Active Feeder Network

Other feeder batches with open delivery windows. Each feeder keeps its own target batch.

Feeder #6,573,969 Feeder #2,443,427 Feeder #6,845,105 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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