λ
Ratio Atlas
Atlas › Integer Profiles › Node 805,545
805,545
36 × 5 × 13 × 17
Abundant Odd Composite

Prime Factor Structure

Factorization String 3^6 × 5 × 13 × 17
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 56
Divisor Sum (σ) 1,652,616
Proper Divisor Sum 847,071
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #805537 ← → #805559

Radix Representation

Decimal 805545
Binary 11000100101010101001 (20 bits)
Octal 0o3045251
Hexadecimal 0xC4AA9

Divisor Catalog (56)

1 3 5 9 13 15 17 27 39 45 51 65 81 85 117 135 153 195 221 243 255 351 405 459 585 663 729 765 1,053 1,105 1,215 1,377 1,755 1,989 2,295 3,159 3,315 3,645 4,131 5,265 5,967 6,885 9,477 9,945 12,393 15,795 17,901 20,655 29,835 47,385 53,703 61,965 89,505 161,109 268,515 805,545

Collatz Trajectory (206 steps to reach 1)

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

805,545 2,416,636 1,208,318 604,159 1,812,478 906,239 2,718,718 1,359,359 4,078,078 2,039,039 6,117,118 3,058,559 9,175,678 4,587,839 13,763,518 6,881,759 20,645,278 10,322,639 30,967,918 15,483,959 46,451,878 23,225,939 69,677,818 34,838,909 104,516,728 52,258,364 26,129,182 13,064,591 39,193,774 19,596,887 58,790,662 29,395,331 88,185,994 44,092,997 132,278,992 66,139,496 33,069,748 16,534,874 8,267,437 24,802,312 12,401,156 6,200,578 3,100,289 9,300,868 4,650,434 2,325,217 6,975,652 3,487,826 1,743,913 5,231,740 2,615,870 1,307,935 3,923,806 1,961,903 5,885,710 2,942,855 8,828,566 4,414,283 13,242,850 6,621,425

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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