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Ratio Atlas
Atlas › Integer Profiles › Node 72,029,950
72,029,950
2 × 52 × 19 × 75821
Deficient Even Composite

Prime Factor Structure

Factorization String 2 × 5^2 × 19 × 75821
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 141,028,920
Proper Divisor Sum 68,998,970
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #72029941 ← → #72029953

Radix Representation

Decimal 72029950
Binary 100010010110001011011111110 (27 bits)
Octal 0o422613376
Hexadecimal 0x44B16FE

Divisor Catalog (24)

1 2 5 10 19 25 38 50 95 190 475 950 75,821 151,642 379,105 758,210 1,440,599 1,895,525 2,881,198 3,791,050 7,202,995 14,405,990 36,014,975 72,029,950

Collatz Trajectory (153 steps to reach 1)

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

72,029,950 36,014,975 108,044,926 54,022,463 162,067,390 81,033,695 243,101,086 121,550,543 364,651,630 182,325,815 546,977,446 273,488,723 820,466,170 410,233,085 1,230,699,256 615,349,628 307,674,814 153,837,407 461,512,222 230,756,111 692,268,334 346,134,167 1,038,402,502 519,201,251 1,557,603,754 778,801,877 2,336,405,632 1,168,202,816 584,101,408 292,050,704 146,025,352 73,012,676 36,506,338 18,253,169 54,759,508 27,379,754 13,689,877 41,069,632 20,534,816 10,267,408 5,133,704 2,566,852 1,283,426 641,713 1,925,140 962,570 481,285 1,443,856 721,928 360,964 180,482 90,241 270,724 135,362 67,681 203,044 101,522 50,761 152,284 76,142

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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