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Ratio Atlas
Atlas › Integer Profiles › Node 72,002,205
72,002,205
32 × 5 × 11 × 145459
Deficient Odd Composite

Prime Factor Structure

Factorization String 3^2 × 5 × 11 × 145459
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 136,150,560
Proper Divisor Sum 64,148,355
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #72002201 ← → #72002209

Radix Representation

Decimal 72002205
Binary 100010010101010101010011101 (27 bits)
Octal 0o422525235
Hexadecimal 0x44AAA9D

Divisor Catalog (24)

1 3 5 9 11 15 33 45 55 99 165 495 145,459 436,377 727,295 1,309,131 1,600,049 2,181,885 4,800,147 6,545,655 8,000,245 14,400,441 24,000,735 72,002,205

Collatz Trajectory (259 steps to reach 1)

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

72,002,205 216,006,616 108,003,308 54,001,654 27,000,827 81,002,482 40,501,241 121,503,724 60,751,862 30,375,931 91,127,794 45,563,897 136,691,692 68,345,846 34,172,923 102,518,770 51,259,385 153,778,156 76,889,078 38,444,539 115,333,618 57,666,809 173,000,428 86,500,214 43,250,107 129,750,322 64,875,161 194,625,484 97,312,742 48,656,371 145,969,114 72,984,557 218,953,672 109,476,836 54,738,418 27,369,209 82,107,628 41,053,814 20,526,907 61,580,722 30,790,361 92,371,084 46,185,542 23,092,771 69,278,314 34,639,157 103,917,472 51,958,736 25,979,368 12,989,684 6,494,842 3,247,421 9,742,264 4,871,132 2,435,566 1,217,783 3,653,350 1,826,675 5,480,026 2,740,013

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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