λ
Ratio Atlas
Atlas › Integer Profiles › Node 3,129,042
3,129,042
2 × 3 × 72 × 29 × 367
Abundant Even Composite

Prime Factor Structure

Factorization String 2 × 3 × 7^2 × 29 × 367
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 7,551,360
Proper Divisor Sum 4,422,318
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #3129031 ← → #3129043

Radix Representation

Decimal 3129042
Binary 1011111011111011010010 (22 bits)
Octal 0o13737322
Hexadecimal 0x2FBED2

Divisor Catalog (48)

1 2 3 6 7 14 21 29 42 49 58 87 98 147 174 203 294 367 406 609 734 1,101 1,218 1,421 2,202 2,569 2,842 4,263 5,138 7,707 8,526 10,643 15,414 17,983 21,286 31,929 35,966 53,949 63,858 74,501 107,898 149,002 223,503 447,006 521,507 1,043,014 1,564,521 3,129,042

Collatz Trajectory (177 steps to reach 1)

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

3,129,042 1,564,521 4,693,564 2,346,782 1,173,391 3,520,174 1,760,087 5,280,262 2,640,131 7,920,394 3,960,197 11,880,592 5,940,296 2,970,148 1,485,074 742,537 2,227,612 1,113,806 556,903 1,670,710 835,355 2,506,066 1,253,033 3,759,100 1,879,550 939,775 2,819,326 1,409,663 4,228,990 2,114,495 6,343,486 3,171,743 9,515,230 4,757,615 14,272,846 7,136,423 21,409,270 10,704,635 32,113,906 16,056,953 48,170,860 24,085,430 12,042,715 36,128,146 18,064,073 54,192,220 27,096,110 13,548,055 40,644,166 20,322,083 60,966,250 30,483,125 91,449,376 45,724,688 22,862,344 11,431,172 5,715,586 2,857,793 8,573,380 4,286,690

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 #6,573,969 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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