λ
Ratio Atlas
Atlas › Integer Profiles › Node 72,002,204
72,002,204
22 × 61 × 491 × 601
Deficient Even Composite

Prime Factor Structure

Factorization String 2^2 × 61 × 491 × 601
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 128,543,856
Proper Divisor Sum 56,541,652
Digit Sum / Digital Root 17 (Root: 8)
Adjacent Primes #72002201 ← → #72002209

Radix Representation

Decimal 72002204
Binary 100010010101010101010011100 (27 bits)
Octal 0o422525234
Hexadecimal 0x44AAA9C

Divisor Catalog (24)

1 2 4 61 122 244 491 601 982 1,202 1,964 2,404 29,951 36,661 59,902 73,322 119,804 146,644 295,091 590,182 1,180,364 18,000,551 36,001,102 72,002,204

Collatz Trajectory (259 steps to reach 1)

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

72,002,204 36,001,102 18,000,551 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 #6,970,568 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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