λ
Ratio Atlas
Atlas › Integer Profiles › Node 11,615,742
11,615,742
2 × 32 × 61 × 71 × 149
Abundant Even Composite

Prime Factor Structure

Factorization String 2 × 3^2 × 61 × 71 × 149
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 26,114,400
Proper Divisor Sum 14,498,658
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #11615741 ← → #11615771

Radix Representation

Decimal 11615742
Binary 101100010011110111111110 (24 bits)
Octal 0o54236776
Hexadecimal 0xB13DFE

Divisor Catalog (48)

1 2 3 6 9 18 61 71 122 142 149 183 213 298 366 426 447 549 639 894 1,098 1,278 1,341 2,682 4,331 8,662 9,089 10,579 12,993 18,178 21,158 25,986 27,267 31,737 38,979 54,534 63,474 77,958 81,801 95,211 163,602 190,422 645,319 1,290,638 1,935,957 3,871,914 5,807,871 11,615,742

Collatz Trajectory (215 steps to reach 1)

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

11,615,742 5,807,871 17,423,614 8,711,807 26,135,422 13,067,711 39,203,134 19,601,567 58,804,702 29,402,351 88,207,054 44,103,527 132,310,582 66,155,291 198,465,874 99,232,937 297,698,812 148,849,406 74,424,703 223,274,110 111,637,055 334,911,166 167,455,583 502,366,750 251,183,375 753,550,126 376,775,063 1,130,325,190 565,162,595 1,695,487,786 847,743,893 2,543,231,680 1,271,615,840 635,807,920 317,903,960 158,951,980 79,475,990 39,737,995 119,213,986 59,606,993 178,820,980 89,410,490 44,705,245 134,115,736 67,057,868 33,528,934 16,764,467 50,293,402 25,146,701 75,440,104 37,720,052 18,860,026 9,430,013 28,290,040 14,145,020 7,072,510 3,536,255 10,608,766 5,304,383 15,913,150

Active Feeder Network

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

Feeder #7,737,779 Feeder #685,881 Feeder #2,871,188 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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