λ
Ratio Atlas
Atlas › Integer Profiles › Node 80,945,109
80,945,109
33 × 72 × 17 × 59 × 61
Deficient Odd Composite

Prime Factor Structure

Factorization String 3^3 × 7^2 × 17 × 59 × 61
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 96
Divisor Sum (σ) 152,668,800
Proper Divisor Sum 71,723,691
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #80945107 ← → #80945113

Radix Representation

Decimal 80945109
Binary 100110100110001111111010101 (27 bits)
Octal 0o464617725
Hexadecimal 0x4D31FD5

Divisor Catalog (60 of 96)

1 3 7 9 17 21 27 49 51 59 61 63 119 147 153 177 183 189 357 413 427 441 459 531 549 833 1,003 1,037 1,071 1,239 1,281 1,323 1,593 1,647 2,499 2,891 2,989 3,009 3,111 3,213 3,599 3,717 3,843 7,021 7,259 7,497 8,673 8,967 9,027 9,333 10,797 11,151 11,529 21,063 21,777 22,491 25,193 26,019 26,901 27,081

Collatz Trajectory (210 steps to reach 1)

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

80,945,109 242,835,328 121,417,664 60,708,832 30,354,416 15,177,208 7,588,604 3,794,302 1,897,151 5,691,454 2,845,727 8,537,182 4,268,591 12,805,774 6,402,887 19,208,662 9,604,331 28,812,994 14,406,497 43,219,492 21,609,746 10,804,873 32,414,620 16,207,310 8,103,655 24,310,966 12,155,483 36,466,450 18,233,225 54,699,676 27,349,838 13,674,919 41,024,758 20,512,379 61,537,138 30,768,569 92,305,708 46,152,854 23,076,427 69,229,282 34,614,641 103,843,924 51,921,962 25,960,981 77,882,944 38,941,472 19,470,736 9,735,368 4,867,684 2,433,842 1,216,921 3,650,764 1,825,382 912,691 2,738,074 1,369,037 4,107,112 2,053,556 1,026,778 513,389

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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