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Ratio Atlas
Atlas › Integer Profiles › Node 16,891,745
16,891,745
5 × 13 × 31 × 83 × 101
Deficient Odd Composite

Prime Factor Structure

Factorization String 5 × 13 × 31 × 83 × 101
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 23,030,784
Proper Divisor Sum 6,139,039
Digit Sum / Digital Root 41 (Root: 5)
Adjacent Primes #16891723 ← → #16891747

Radix Representation

Decimal 16891745
Binary 1000000011011111101100001 (25 bits)
Octal 0o100337541
Hexadecimal 0x101BF61

Divisor Catalog (32)

1 5 13 31 65 83 101 155 403 415 505 1,079 1,313 2,015 2,573 3,131 5,395 6,565 8,383 12,865 15,655 33,449 40,703 41,915 108,979 167,245 203,515 259,873 544,895 1,299,365 3,378,349 16,891,745

Collatz Trajectory (275 steps to reach 1)

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

16,891,745 50,675,236 25,337,618 12,668,809 38,006,428 19,003,214 9,501,607 28,504,822 14,252,411 42,757,234 21,378,617 64,135,852 32,067,926 16,033,963 48,101,890 24,050,945 72,152,836 36,076,418 18,038,209 54,114,628 27,057,314 13,528,657 40,585,972 20,292,986 10,146,493 30,439,480 15,219,740 7,609,870 3,804,935 11,414,806 5,707,403 17,122,210 8,561,105 25,683,316 12,841,658 6,420,829 19,262,488 9,631,244 4,815,622 2,407,811 7,223,434 3,611,717 10,835,152 5,417,576 2,708,788 1,354,394 677,197 2,031,592 1,015,796 507,898 253,949 761,848 380,924 190,462 95,231 285,694 142,847 428,542 214,271 642,814

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 #6,573,969 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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