λ
Ratio Atlas
Atlas › Integer Profiles › Node 80,928,276
80,928,276
22 × 3 × 11 × 13 × 47161
Abundant Even Composite

Prime Factor Structure

Factorization String 2^2 × 3 × 11 × 13 × 47161
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 221,850,048
Proper Divisor Sum 140,921,772
Digit Sum / Digital Root 42 (Root: 6)
Adjacent Primes #80928269 ← → #80928317

Radix Representation

Decimal 80928276
Binary 100110100101101111000010100 (27 bits)
Octal 0o464557024
Hexadecimal 0x4D2DE14

Divisor Catalog (48)

1 2 3 4 6 11 12 13 22 26 33 39 44 52 66 78 132 143 156 286 429 572 858 1,716 47,161 94,322 141,483 188,644 282,966 518,771 565,932 613,093 1,037,542 1,226,186 1,556,313 1,839,279 2,075,084 2,452,372 3,112,626 3,678,558 6,225,252 6,744,023 7,357,116 13,488,046 20,232,069 26,976,092 40,464,138 80,928,276

Collatz Trajectory (223 steps to reach 1)

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

80,928,276 40,464,138 20,232,069 60,696,208 30,348,104 15,174,052 7,587,026 3,793,513 11,380,540 5,690,270 2,845,135 8,535,406 4,267,703 12,803,110 6,401,555 19,204,666 9,602,333 28,807,000 14,403,500 7,201,750 3,600,875 10,802,626 5,401,313 16,203,940 8,101,970 4,050,985 12,152,956 6,076,478 3,038,239 9,114,718 4,557,359 13,672,078 6,836,039 20,508,118 10,254,059 30,762,178 15,381,089 46,143,268 23,071,634 11,535,817 34,607,452 17,303,726 8,651,863 25,955,590 12,977,795 38,933,386 19,466,693 58,400,080 29,200,040 14,600,020 7,300,010 3,650,005 10,950,016 5,475,008 2,737,504 1,368,752 684,376 342,188 171,094 85,547

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 #6,970,568 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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