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Ratio Atlas
Atlas › Integer Profiles › Node 23,782,863
23,782,863
3 × 132 × 61 × 769
Deficient Odd Composite

Prime Factor Structure

Factorization String 3 × 13^2 × 61 × 769
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 34,945,680
Proper Divisor Sum 11,162,817
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #23782861 ← → #23782873

Radix Representation

Decimal 23782863
Binary 1011010101110010111001111 (25 bits)
Octal 0o132562717
Hexadecimal 0x16AE5CF

Divisor Catalog (24)

1 3 13 39 61 169 183 507 769 793 2,307 2,379 9,997 10,309 29,991 30,927 46,909 129,961 140,727 389,883 609,817 1,829,451 7,927,621 23,782,863

Collatz Trajectory (198 steps to reach 1)

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

23,782,863 71,348,590 35,674,295 107,022,886 53,511,443 160,534,330 80,267,165 240,801,496 120,400,748 60,200,374 30,100,187 90,300,562 45,150,281 135,450,844 67,725,422 33,862,711 101,588,134 50,794,067 152,382,202 76,191,101 228,573,304 114,286,652 57,143,326 28,571,663 85,714,990 42,857,495 128,572,486 64,286,243 192,858,730 96,429,365 289,288,096 144,644,048 72,322,024 36,161,012 18,080,506 9,040,253 27,120,760 13,560,380 6,780,190 3,390,095 10,170,286 5,085,143 15,255,430 7,627,715 22,883,146 11,441,573 34,324,720 17,162,360 8,581,180 4,290,590 2,145,295 6,435,886 3,217,943 9,653,830 4,826,915 14,480,746 7,240,373 21,721,120 10,860,560 5,430,280

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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