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Ratio Atlas
Atlas › Integer Profiles › Node 9,503,165
9,503,165
5 × 7 × 47 × 53 × 109
Deficient Odd Composite

Prime Factor Structure

Factorization String 5 × 7 × 47 × 53 × 109
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 13,685,760
Proper Divisor Sum 4,182,595
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #9503161 ← → #9503167

Radix Representation

Decimal 9503165
Binary 100100010000000110111101 (24 bits)
Octal 0o44200675
Hexadecimal 0x9101BD

Divisor Catalog (32)

1 5 7 35 47 53 109 235 265 329 371 545 763 1,645 1,855 2,491 3,815 5,123 5,777 12,455 17,437 25,615 28,885 35,861 40,439 87,185 179,305 202,195 271,519 1,357,595 1,900,633 9,503,165

Collatz Trajectory (176 steps to reach 1)

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

9,503,165 28,509,496 14,254,748 7,127,374 3,563,687 10,691,062 5,345,531 16,036,594 8,018,297 24,054,892 12,027,446 6,013,723 18,041,170 9,020,585 27,061,756 13,530,878 6,765,439 20,296,318 10,148,159 30,444,478 15,222,239 45,666,718 22,833,359 68,500,078 34,250,039 102,750,118 51,375,059 154,125,178 77,062,589 231,187,768 115,593,884 57,796,942 28,898,471 86,695,414 43,347,707 130,043,122 65,021,561 195,064,684 97,532,342 48,766,171 146,298,514 73,149,257 219,447,772 109,723,886 54,861,943 164,585,830 82,292,915 246,878,746 123,439,373 370,318,120 185,159,060 92,579,530 46,289,765 138,869,296 69,434,648 34,717,324 17,358,662 8,679,331 26,037,994 13,018,997

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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