λ
Ratio Atlas
Atlas › Integer Profiles › Node 2,122,000
2,122,000
24 × 53 × 1061
Abundant Even Composite

Prime Factor Structure

Factorization String 2^4 × 5^3 × 1061
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 5,135,832
Proper Divisor Sum 3,013,832
Digit Sum / Digital Root 7 (Root: 7)
Adjacent Primes #2121989 ← → #2122009

Radix Representation

Decimal 2122000
Binary 1000000110000100010000 (22 bits)
Octal 0o10060420
Hexadecimal 0x206110

Divisor Catalog (40)

1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 1,000 1,061 2,000 2,122 4,244 5,305 8,488 10,610 16,976 21,220 26,525 42,440 53,050 84,880 106,100 132,625 212,200 265,250 424,400 530,500 1,061,000 2,122,000

Collatz Trajectory (122 steps to reach 1)

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

2,122,000 1,061,000 530,500 265,250 132,625 397,876 198,938 99,469 298,408 149,204 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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