λ
Ratio Atlas
Atlas › Integer Profiles › Node 2,005,704
2,005,704
23 × 32 × 89 × 313
Abundant Even Composite

Prime Factor Structure

Factorization String 2^3 × 3^2 × 89 × 313
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 5,510,700
Proper Divisor Sum 3,504,996
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #2005693 ← → #2005723

Radix Representation

Decimal 2005704
Binary 111101001101011001000 (21 bits)
Octal 0o7515310
Hexadecimal 0x1E9AC8

Divisor Catalog (48)

1 2 3 4 6 8 9 12 18 24 36 72 89 178 267 313 356 534 626 712 801 939 1,068 1,252 1,602 1,878 2,136 2,504 2,817 3,204 3,756 5,634 6,408 7,512 11,268 22,536 27,857 55,714 83,571 111,428 167,142 222,856 250,713 334,284 501,426 668,568 1,002,852 2,005,704

Collatz Trajectory (65 steps to reach 1)

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

2,005,704 1,002,852 501,426 250,713 752,140 376,070 188,035 564,106 282,053 846,160 423,080 211,540 105,770 52,885 158,656 79,328 39,664 19,832 9,916 4,958 2,479 7,438 3,719 11,158 5,579 16,738 8,369 25,108 12,554 6,277 18,832 9,416 4,708 2,354 1,177 3,532 1,766 883 2,650 1,325 3,976 1,988 994 497 1,492 746 373 1,120 560 280 140 70 35 106 53 160 80 40 20 10

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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