λ
Ratio Atlas
Atlas › Integer Profiles › Node 12,123,468
12,123,468
22 × 32 × 7 × 48109
Abundant Even Composite

Prime Factor Structure

Factorization String 2^2 × 3^2 × 7 × 48109
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 35,024,080
Proper Divisor Sum 22,900,612
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #12123467 ← → #12123481

Radix Representation

Decimal 12123468
Binary 101110001111110101001100 (24 bits)
Octal 0o56176514
Hexadecimal 0xB8FD4C

Divisor Catalog (36)

1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 48,109 96,218 144,327 192,436 288,654 336,763 432,981 577,308 673,526 865,962 1,010,289 1,347,052 1,731,924 2,020,578 3,030,867 4,041,156 6,061,734 12,123,468

Collatz Trajectory (228 steps to reach 1)

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

12,123,468 6,061,734 3,030,867 9,092,602 4,546,301 13,638,904 6,819,452 3,409,726 1,704,863 5,114,590 2,557,295 7,671,886 3,835,943 11,507,830 5,753,915 17,261,746 8,630,873 25,892,620 12,946,310 6,473,155 19,419,466 9,709,733 29,129,200 14,564,600 7,282,300 3,641,150 1,820,575 5,461,726 2,730,863 8,192,590 4,096,295 12,288,886 6,144,443 18,433,330 9,216,665 27,649,996 13,824,998 6,912,499 20,737,498 10,368,749 31,106,248 15,553,124 7,776,562 3,888,281 11,664,844 5,832,422 2,916,211 8,748,634 4,374,317 13,122,952 6,561,476 3,280,738 1,640,369 4,921,108 2,460,554 1,230,277 3,690,832 1,845,416 922,708 461,354

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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