λ
Ratio Atlas
Atlas › Integer Profiles › Node 72,025,443
72,025,443
35 × 72 × 23 × 263
Deficient Odd Composite

Prime Factor Structure

Factorization String 3^5 × 7^2 × 23 × 263
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 72
Divisor Sum (σ) 131,459,328
Proper Divisor Sum 59,433,885
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #72025441 ← → #72025517

Radix Representation

Decimal 72025443
Binary 100010010110000010101100011 (27 bits)
Octal 0o422602543
Hexadecimal 0x44B0563

Divisor Catalog (60 of 72)

1 3 7 9 21 23 27 49 63 69 81 147 161 189 207 243 263 441 483 567 621 789 1,127 1,323 1,449 1,701 1,841 1,863 2,367 3,381 3,969 4,347 5,523 5,589 6,049 7,101 10,143 11,907 12,887 13,041 16,569 18,147 21,303 30,429 38,661 39,123 42,343 49,707 54,441 63,909 91,287 115,983 127,029 149,121 163,323 273,861 296,401 347,949 381,087 447,363

Collatz Trajectory (114 steps to reach 1)

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

72,025,443 216,076,330 108,038,165 324,114,496 162,057,248 81,028,624 40,514,312 20,257,156 10,128,578 5,064,289 15,192,868 7,596,434 3,798,217 11,394,652 5,697,326 2,848,663 8,545,990 4,272,995 12,818,986 6,409,493 19,228,480 9,614,240 4,807,120 2,403,560 1,201,780 600,890 300,445 901,336 450,668 225,334 112,667 338,002 169,001 507,004 253,502 126,751 380,254 190,127 570,382 285,191 855,574 427,787 1,283,362 641,681 1,925,044 962,522 481,261 1,443,784 721,892 360,946 180,473 541,420 270,710 135,355 406,066 203,033 609,100 304,550 152,275 456,826

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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