λ
Ratio Atlas
Atlas › Integer Profiles › Node 72,025,686
72,025,686
2 × 35 × 148201
Abundant Even Composite

Prime Factor Structure

Factorization String 2 × 3^5 × 148201
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 161,836,584
Proper Divisor Sum 89,810,898
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #72025649 ← → #72025699

Radix Representation

Decimal 72025686
Binary 100010010110000011001010110 (27 bits)
Octal 0o422603126
Hexadecimal 0x44B0656

Divisor Catalog (24)

1 2 3 6 9 18 27 54 81 162 243 486 148,201 296,402 444,603 889,206 1,333,809 2,667,618 4,001,427 8,002,854 12,004,281 24,008,562 36,012,843 72,025,686

Collatz Trajectory (321 steps to reach 1)

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

72,025,686 36,012,843 108,038,530 54,019,265 162,057,796 81,028,898 40,514,449 121,543,348 60,771,674 30,385,837 91,157,512 45,578,756 22,789,378 11,394,689 34,184,068 17,092,034 8,546,017 25,638,052 12,819,026 6,409,513 19,228,540 9,614,270 4,807,135 14,421,406 7,210,703 21,632,110 10,816,055 32,448,166 16,224,083 48,672,250 24,336,125 73,008,376 36,504,188 18,252,094 9,126,047 27,378,142 13,689,071 41,067,214 20,533,607 61,600,822 30,800,411 92,401,234 46,200,617 138,601,852 69,300,926 34,650,463 103,951,390 51,975,695 155,927,086 77,963,543 233,890,630 116,945,315 350,835,946 175,417,973 526,253,920 263,126,960 131,563,480 65,781,740 32,890,870 16,445,435

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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