λ
Ratio Atlas
Atlas › Integer Profiles › Node 2,182,908
2,182,908
22 × 3 × 7 × 13 × 1999
Abundant Even Composite

Prime Factor Structure

Factorization String 2^2 × 3 × 7 × 13 × 1999
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 6,272,000
Proper Divisor Sum 4,089,092
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #2182897 ← → #2182931

Radix Representation

Decimal 2182908
Binary 1000010100111011111100 (22 bits)
Octal 0o10247374
Hexadecimal 0x214EFC

Divisor Catalog (48)

1 2 3 4 6 7 12 13 14 21 26 28 39 42 52 78 84 91 156 182 273 364 546 1,092 1,999 3,998 5,997 7,996 11,994 13,993 23,988 25,987 27,986 41,979 51,974 55,972 77,961 83,958 103,948 155,922 167,916 181,909 311,844 363,818 545,727 727,636 1,091,454 2,182,908

Collatz Trajectory (148 steps to reach 1)

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

2,182,908 1,091,454 545,727 1,637,182 818,591 2,455,774 1,227,887 3,683,662 1,841,831 5,525,494 2,762,747 8,288,242 4,144,121 12,432,364 6,216,182 3,108,091 9,324,274 4,662,137 13,986,412 6,993,206 3,496,603 10,489,810 5,244,905 15,734,716 7,867,358 3,933,679 11,801,038 5,900,519 17,701,558 8,850,779 26,552,338 13,276,169 39,828,508 19,914,254 9,957,127 29,871,382 14,935,691 44,807,074 22,403,537 67,210,612 33,605,306 16,802,653 50,407,960 25,203,980 12,601,990 6,300,995 18,902,986 9,451,493 28,354,480 14,177,240 7,088,620 3,544,310 1,772,155 5,316,466 2,658,233 7,974,700 3,987,350 1,993,675 5,981,026 2,990,513

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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