λ
Ratio Atlas
Atlas › Integer Profiles › Node 42,859,734
42,859,734
2 × 3 × 43 × 271 × 613
Abundant Even Composite

Prime Factor Structure

Factorization String 2 × 3 × 43 × 271 × 613
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 88,180,224
Proper Divisor Sum 45,320,490
Digit Sum / Digital Root 42 (Root: 6)
Adjacent Primes #42859679 ← → #42859753

Radix Representation

Decimal 42859734
Binary 10100011011111110011010110 (26 bits)
Octal 0o243376326
Hexadecimal 0x28DFCD6

Divisor Catalog (32)

1 2 3 6 43 86 129 258 271 542 613 813 1,226 1,626 1,839 3,678 11,653 23,306 26,359 34,959 52,718 69,918 79,077 158,154 166,123 332,246 498,369 996,738 7,143,289 14,286,578 21,429,867 42,859,734

Collatz Trajectory (204 steps to reach 1)

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

42,859,734 21,429,867 64,289,602 32,144,801 96,434,404 48,217,202 24,108,601 72,325,804 36,162,902 18,081,451 54,244,354 27,122,177 81,366,532 40,683,266 20,341,633 61,024,900 30,512,450 15,256,225 45,768,676 22,884,338 11,442,169 34,326,508 17,163,254 8,581,627 25,744,882 12,872,441 38,617,324 19,308,662 9,654,331 28,962,994 14,481,497 43,444,492 21,722,246 10,861,123 32,583,370 16,291,685 48,875,056 24,437,528 12,218,764 6,109,382 3,054,691 9,164,074 4,582,037 13,746,112 6,873,056 3,436,528 1,718,264 859,132 429,566 214,783 644,350 322,175 966,526 483,263 1,449,790 724,895 2,174,686 1,087,343 3,262,030 1,631,015

Active Feeder Network

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

Feeder #6,449,649 Feeder #6,177,699 Feeder #4,494,486 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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