λ
Ratio Atlas
Atlas › Integer Profiles › Node 80,098,476
80,098,476
22 × 3 × 53 × 125941
Abundant Even Composite

Prime Factor Structure

Factorization String 2^2 × 3 × 53 × 125941
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 190,424,304
Proper Divisor Sum 110,325,828
Digit Sum / Digital Root 42 (Root: 6)
Adjacent Primes #80098463 ← → #80098477

Radix Representation

Decimal 80098476
Binary 100110001100011010010101100 (27 bits)
Octal 0o461432254
Hexadecimal 0x4C634AC

Divisor Catalog (24)

1 2 3 4 6 12 53 106 159 212 318 636 125,941 251,882 377,823 503,764 755,646 1,511,292 6,674,873 13,349,746 20,024,619 26,699,492 40,049,238 80,098,476

Collatz Trajectory (140 steps to reach 1)

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

80,098,476 40,049,238 20,024,619 60,073,858 30,036,929 90,110,788 45,055,394 22,527,697 67,583,092 33,791,546 16,895,773 50,687,320 25,343,660 12,671,830 6,335,915 19,007,746 9,503,873 28,511,620 14,255,810 7,127,905 21,383,716 10,691,858 5,345,929 16,037,788 8,018,894 4,009,447 12,028,342 6,014,171 18,042,514 9,021,257 27,063,772 13,531,886 6,765,943 20,297,830 10,148,915 30,446,746 15,223,373 45,670,120 22,835,060 11,417,530 5,708,765 17,126,296 8,563,148 4,281,574 2,140,787 6,422,362 3,211,181 9,633,544 4,816,772 2,408,386 1,204,193 3,612,580 1,806,290 903,145 2,709,436 1,354,718 677,359 2,032,078 1,016,039 3,048,118

Active Feeder Network

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

Feeder #7,737,779 Feeder #685,881 Feeder #2,871,188 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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