λ
Ratio Atlas
Atlas › Integer Profiles › Node 2,002,806
2,002,806
2 × 35 × 13 × 317
Abundant Even Composite

Prime Factor Structure

Factorization String 2 × 3^5 × 13 × 317
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 4,861,584
Proper Divisor Sum 2,858,778
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #2002799 ← → #2002807

Radix Representation

Decimal 2002806
Binary 111101000111101110110 (21 bits)
Octal 0o7507566
Hexadecimal 0x1E8F76

Divisor Catalog (48)

1 2 3 6 9 13 18 26 27 39 54 78 81 117 162 234 243 317 351 486 634 702 951 1,053 1,902 2,106 2,853 3,159 4,121 5,706 6,318 8,242 8,559 12,363 17,118 24,726 25,677 37,089 51,354 74,178 77,031 111,267 154,062 222,534 333,801 667,602 1,001,403 2,002,806

Collatz Trajectory (153 steps to reach 1)

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

2,002,806 1,001,403 3,004,210 1,502,105 4,506,316 2,253,158 1,126,579 3,379,738 1,689,869 5,069,608 2,534,804 1,267,402 633,701 1,901,104 950,552 475,276 237,638 118,819 356,458 178,229 534,688 267,344 133,672 66,836 33,418 16,709 50,128 25,064 12,532 6,266 3,133 9,400 4,700 2,350 1,175 3,526 1,763 5,290 2,645 7,936 3,968 1,984 992 496 248 124 62 31 94 47 142 71 214 107 322 161 484 242 121 364

Active Feeder Network

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

Feeder #7,737,779 Feeder #685,881 Feeder #2,871,188 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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