λ
Ratio Atlas
Atlas › Integer Profiles › Node 73,096,182
73,096,182
2 × 34 × 29 × 15559
Abundant Even Composite

Prime Factor Structure

Factorization String 2 × 3^4 × 29 × 15559
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 169,448,400
Proper Divisor Sum 96,352,218
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #73096181 ← → #73096183

Radix Representation

Decimal 73096182
Binary 100010110110101101111110110 (27 bits)
Octal 0o426655766
Hexadecimal 0x45B5BF6

Divisor Catalog (40)

1 2 3 6 9 18 27 29 54 58 81 87 162 174 261 522 783 1,566 2,349 4,698 15,559 31,118 46,677 93,354 140,031 280,062 420,093 451,211 840,186 902,422 1,260,279 1,353,633 2,520,558 2,707,266 4,060,899 8,121,798 12,182,697 24,365,394 36,548,091 73,096,182

Collatz Trajectory (290 steps to reach 1)

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

73,096,182 36,548,091 109,644,274 54,822,137 164,466,412 82,233,206 41,116,603 123,349,810 61,674,905 185,024,716 92,512,358 46,256,179 138,768,538 69,384,269 208,152,808 104,076,404 52,038,202 26,019,101 78,057,304 39,028,652 19,514,326 9,757,163 29,271,490 14,635,745 43,907,236 21,953,618 10,976,809 32,930,428 16,465,214 8,232,607 24,697,822 12,348,911 37,046,734 18,523,367 55,570,102 27,785,051 83,355,154 41,677,577 125,032,732 62,516,366 31,258,183 93,774,550 46,887,275 140,661,826 70,330,913 210,992,740 105,496,370 52,748,185 158,244,556 79,122,278 39,561,139 118,683,418 59,341,709 178,025,128 89,012,564 44,506,282 22,253,141 66,759,424 33,379,712 16,689,856

Active Feeder Network

Other feeder batches with open delivery windows. Each feeder keeps its own target batch.

Feeder #6,573,969 Feeder #6,845,105 Feeder #8,750,980 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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