λ
Ratio Atlas
Atlas › Integer Profiles › Node 72,041,336
72,041,336
23 × 232 × 29 × 587
Abundant Even Composite

Prime Factor Structure

Factorization String 2^3 × 23^2 × 29 × 587
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 146,323,800
Proper Divisor Sum 74,282,464
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #72041327 ← → #72041341

Radix Representation

Decimal 72041336
Binary 100010010110100001101111000 (27 bits)
Octal 0o422641570
Hexadecimal 0x44B4378

Divisor Catalog (48)

1 2 4 8 23 29 46 58 92 116 184 232 529 587 667 1,058 1,174 1,334 2,116 2,348 2,668 4,232 4,696 5,336 13,501 15,341 17,023 27,002 30,682 34,046 54,004 61,364 68,092 108,008 122,728 136,184 310,523 391,529 621,046 783,058 1,242,092 1,566,116 2,484,184 3,132,232 9,005,167 18,010,334 36,020,668 72,041,336

Collatz Trajectory (365 steps to reach 1)

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

72,041,336 36,020,668 18,010,334 9,005,167 27,015,502 13,507,751 40,523,254 20,261,627 60,784,882 30,392,441 91,177,324 45,588,662 22,794,331 68,382,994 34,191,497 102,574,492 51,287,246 25,643,623 76,930,870 38,465,435 115,396,306 57,698,153 173,094,460 86,547,230 43,273,615 129,820,846 64,910,423 194,731,270 97,365,635 292,096,906 146,048,453 438,145,360 219,072,680 109,536,340 54,768,170 27,384,085 82,152,256 41,076,128 20,538,064 10,269,032 5,134,516 2,567,258 1,283,629 3,850,888 1,925,444 962,722 481,361 1,444,084 722,042 361,021 1,083,064 541,532 270,766 135,383 406,150 203,075 609,226 304,613 913,840 456,920

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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