λ
Ratio Atlas
Atlas › Integer Profiles › Node 28,710
28,710
2 × 32 × 5 × 11 × 29
Abundant Even Composite

Prime Factor Structure

Factorization String 2 × 3^2 × 5 × 11 × 29
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 84,240
Proper Divisor Sum 55,530
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #28703 ← → #28711

Radix Representation

Decimal 28710
Binary 111000000100110 (15 bits)
Octal 0o70046
Hexadecimal 0x7026

Divisor Catalog (48)

1 2 3 5 6 9 10 11 15 18 22 29 30 33 45 55 58 66 87 90 99 110 145 165 174 198 261 290 319 330 435 495 522 638 870 957 990 1,305 1,595 1,914 2,610 2,871 3,190 4,785 5,742 9,570 14,355 28,710

Collatz Trajectory (77 steps to reach 1)

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

28,710 14,355 43,066 21,533 64,600 32,300 16,150 8,075 24,226 12,113 36,340 18,170 9,085 27,256 13,628 6,814 3,407 10,222 5,111 15,334 7,667 23,002 11,501 34,504 17,252 8,626 4,313 12,940 6,470 3,235 9,706 4,853 14,560 7,280 3,640 1,820 910 455 1,366 683 2,050 1,025 3,076 1,538 769 2,308 1,154 577 1,732 866 433 1,300 650 325 976 488 244 122 61 184

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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