λ
Ratio Atlas
Atlas › Integer Profiles › Node 6,000,834
6,000,834
2 × 3 × 72 × 20411
Abundant Even Composite

Prime Factor Structure

Factorization String 2 × 3 × 7^2 × 20411
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 13,961,808
Proper Divisor Sum 7,960,974
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #6000829 ← → #6000853

Radix Representation

Decimal 6000834
Binary 10110111001000011000010 (23 bits)
Octal 0o26710302
Hexadecimal 0x5B90C2

Divisor Catalog (24)

1 2 3 6 7 14 21 42 49 98 147 294 20,411 40,822 61,233 122,466 142,877 285,754 428,631 857,262 1,000,139 2,000,278 3,000,417 6,000,834

Collatz Trajectory (258 steps to reach 1)

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

6,000,834 3,000,417 9,001,252 4,500,626 2,250,313 6,750,940 3,375,470 1,687,735 5,063,206 2,531,603 7,594,810 3,797,405 11,392,216 5,696,108 2,848,054 1,424,027 4,272,082 2,136,041 6,408,124 3,204,062 1,602,031 4,806,094 2,403,047 7,209,142 3,604,571 10,813,714 5,406,857 16,220,572 8,110,286 4,055,143 12,165,430 6,082,715 18,248,146 9,124,073 27,372,220 13,686,110 6,843,055 20,529,166 10,264,583 30,793,750 15,396,875 46,190,626 23,095,313 69,285,940 34,642,970 17,321,485 51,964,456 25,982,228 12,991,114 6,495,557 19,486,672 9,743,336 4,871,668 2,435,834 1,217,917 3,653,752 1,826,876 913,438 456,719 1,370,158

Active Feeder Network

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

Feeder #3,913,373 Feeder #8,365,252 Feeder #6,970,568 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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