λ
Ratio Atlas
Atlas › Integer Profiles › Node 80,096,046
80,096,046
2 × 3 × 37 × 79 × 4567
Abundant Even Composite

Prime Factor Structure

Factorization String 2 × 3 × 37 × 79 × 4567
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 166,640,640
Proper Divisor Sum 86,544,594
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #80096017 ← → #80096087

Radix Representation

Decimal 80096046
Binary 100110001100010101100101110 (27 bits)
Octal 0o461425456
Hexadecimal 0x4C62B2E

Divisor Catalog (32)

1 2 3 6 37 74 79 111 158 222 237 474 2,923 4,567 5,846 8,769 9,134 13,701 17,538 27,402 168,979 337,958 360,793 506,937 721,586 1,013,874 1,082,379 2,164,758 13,349,341 26,698,682 40,048,023 80,096,046

Collatz Trajectory (148 steps to reach 1)

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

80,096,046 40,048,023 120,144,070 60,072,035 180,216,106 90,108,053 270,324,160 135,162,080 67,581,040 33,790,520 16,895,260 8,447,630 4,223,815 12,671,446 6,335,723 19,007,170 9,503,585 28,510,756 14,255,378 7,127,689 21,383,068 10,691,534 5,345,767 16,037,302 8,018,651 24,055,954 12,027,977 36,083,932 18,041,966 9,020,983 27,062,950 13,531,475 40,594,426 20,297,213 60,891,640 30,445,820 15,222,910 7,611,455 22,834,366 11,417,183 34,251,550 17,125,775 51,377,326 25,688,663 77,065,990 38,532,995 115,598,986 57,799,493 173,398,480 86,699,240 43,349,620 21,674,810 10,837,405 32,512,216 16,256,108 8,128,054 4,064,027 12,192,082 6,096,041 18,288,124

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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