λ
Ratio Atlas
Atlas › Integer Profiles › Node 42,900
42,900
22 × 3 × 52 × 11 × 13
Abundant Even Composite

Prime Factor Structure

Factorization String 2^2 × 3 × 5^2 × 11 × 13
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 72
Divisor Sum (σ) 145,824
Proper Divisor Sum 102,924
Digit Sum / Digital Root 15 (Root: 6)
Adjacent Primes #42899 ← → #42901

Radix Representation

Decimal 42900
Binary 1010011110010100 (16 bits)
Octal 0o123624
Hexadecimal 0xA794

Divisor Catalog (60 of 72)

1 2 3 4 5 6 10 11 12 13 15 20 22 25 26 30 33 39 44 50 52 55 60 65 66 75 78 100 110 130 132 143 150 156 165 195 220 260 275 286 300 325 330 390 429 550 572 650 660 715 780 825 858 975 1,100 1,300 1,430 1,650 1,716 1,950

Collatz Trajectory (49 steps to reach 1)

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

42,900 21,450 10,725 32,176 16,088 8,044 4,022 2,011 6,034 3,017 9,052 4,526 2,263 6,790 3,395 10,186 5,093 15,280 7,640 3,820 1,910 955 2,866 1,433 4,300 2,150 1,075 3,226 1,613 4,840 2,420 1,210 605 1,816 908 454 227 682 341 1,024 512 256 128 64 32 16 8 4 2 1

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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