λ
Ratio Atlas
Atlas › Integer Profiles › Node 17,517,045
17,517,045
3 × 5 × 7 × 13 × 41 × 313
Abundant Odd Composite

Prime Factor Structure

Factorization String 3 × 5 × 7 × 13 × 41 × 313
Distinct Prime Factors 6
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 35,449,344
Proper Divisor Sum 17,932,299
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #17517037 ← → #17517047

Radix Representation

Decimal 17517045
Binary 1000010110100100111110101 (25 bits)
Octal 0o102644765
Hexadecimal 0x10B49F5

Divisor Catalog (60 of 64)

1 3 5 7 13 15 21 35 39 41 65 91 105 123 195 205 273 287 313 455 533 615 861 939 1,365 1,435 1,565 1,599 2,191 2,665 3,731 4,069 4,305 4,695 6,573 7,995 10,955 11,193 12,207 12,833 18,655 20,345 28,483 32,865 38,499 55,965 61,035 64,165 85,449 89,831 142,415 166,829 192,495 269,493 427,245 449,155 500,487 834,145 1,167,803 1,347,465

Collatz Trajectory (213 steps to reach 1)

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

17,517,045 52,551,136 26,275,568 13,137,784 6,568,892 3,284,446 1,642,223 4,926,670 2,463,335 7,390,006 3,695,003 11,085,010 5,542,505 16,627,516 8,313,758 4,156,879 12,470,638 6,235,319 18,705,958 9,352,979 28,058,938 14,029,469 42,088,408 21,044,204 10,522,102 5,261,051 15,783,154 7,891,577 23,674,732 11,837,366 5,918,683 17,756,050 8,878,025 26,634,076 13,317,038 6,658,519 19,975,558 9,987,779 29,963,338 14,981,669 44,945,008 22,472,504 11,236,252 5,618,126 2,809,063 8,427,190 4,213,595 12,640,786 6,320,393 18,961,180 9,480,590 4,740,295 14,220,886 7,110,443 21,331,330 10,665,665 31,996,996 15,998,498 7,999,249 23,997,748

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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