λ
Ratio Atlas
Atlas › Integer Profiles › Node 2,829,006
2,829,006
2 × 35 × 5821
Abundant Even Composite

Prime Factor Structure

Factorization String 2 × 3^5 × 5821
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 6,357,624
Proper Divisor Sum 3,528,618
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #2828999 ← → #2829007

Radix Representation

Decimal 2829006
Binary 1010110010101011001110 (22 bits)
Octal 0o12625316
Hexadecimal 0x2B2ACE

Divisor Catalog (24)

1 2 3 6 9 18 27 54 81 162 243 486 5,821 11,642 17,463 34,926 52,389 104,778 157,167 314,334 471,501 943,002 1,414,503 2,829,006

Collatz Trajectory (200 steps to reach 1)

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

2,829,006 1,414,503 4,243,510 2,121,755 6,365,266 3,182,633 9,547,900 4,773,950 2,386,975 7,160,926 3,580,463 10,741,390 5,370,695 16,112,086 8,056,043 24,168,130 12,084,065 36,252,196 18,126,098 9,063,049 27,189,148 13,594,574 6,797,287 20,391,862 10,195,931 30,587,794 15,293,897 45,881,692 22,940,846 11,470,423 34,411,270 17,205,635 51,616,906 25,808,453 77,425,360 38,712,680 19,356,340 9,678,170 4,839,085 14,517,256 7,258,628 3,629,314 1,814,657 5,443,972 2,721,986 1,360,993 4,082,980 2,041,490 1,020,745 3,062,236 1,531,118 765,559 2,296,678 1,148,339 3,445,018 1,722,509 5,167,528 2,583,764 1,291,882 645,941

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 #6,970,568 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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