λ
Ratio Atlas
Atlas › Integer Profiles › Node 72,084,005
72,084,005
5 × 7 × 19 × 61 × 1777
Deficient Odd Composite

Prime Factor Structure

Factorization String 5 × 7 × 19 × 61 × 1777
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 105,826,560
Proper Divisor Sum 33,742,555
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #72083993 ← → #72084013

Radix Representation

Decimal 72084005
Binary 100010010111110101000100101 (27 bits)
Octal 0o422765045
Hexadecimal 0x44BEA25

Divisor Catalog (32)

1 5 7 19 35 61 95 133 305 427 665 1,159 1,777 2,135 5,795 8,113 8,885 12,439 33,763 40,565 62,195 108,397 168,815 236,341 541,985 758,779 1,181,705 2,059,543 3,793,895 10,297,715 14,416,801 72,084,005

Collatz Trajectory (140 steps to reach 1)

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

72,084,005 216,252,016 108,126,008 54,063,004 27,031,502 13,515,751 40,547,254 20,273,627 60,820,882 30,410,441 91,231,324 45,615,662 22,807,831 68,423,494 34,211,747 102,635,242 51,317,621 153,952,864 76,976,432 38,488,216 19,244,108 9,622,054 4,811,027 14,433,082 7,216,541 21,649,624 10,824,812 5,412,406 2,706,203 8,118,610 4,059,305 12,177,916 6,088,958 3,044,479 9,133,438 4,566,719 13,700,158 6,850,079 20,550,238 10,275,119 30,825,358 15,412,679 46,238,038 23,119,019 69,357,058 34,678,529 104,035,588 52,017,794 26,008,897 78,026,692 39,013,346 19,506,673 58,520,020 29,260,010 14,630,005 43,890,016 21,945,008 10,972,504 5,486,252 2,743,126

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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