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Ratio Atlas
Atlas › Integer Profiles › Node 871,871
871,871
7 × 11 × 132 × 67
Deficient Odd Composite

Prime Factor Structure

Factorization String 7 × 11 × 13^2 × 67
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 1,194,624
Proper Divisor Sum 322,753
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #871867 ← → #871883

Radix Representation

Decimal 871871
Binary 11010100110110111111 (20 bits)
Octal 0o3246677
Hexadecimal 0xD4DBF

Divisor Catalog (24)

1 7 11 13 67 77 91 143 169 469 737 871 1,001 1,183 1,859 5,159 6,097 9,581 11,323 13,013 67,067 79,261 124,553 871,871

Collatz Trajectory (201 steps to reach 1)

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

871,871 2,615,614 1,307,807 3,923,422 1,961,711 5,885,134 2,942,567 8,827,702 4,413,851 13,241,554 6,620,777 19,862,332 9,931,166 4,965,583 14,896,750 7,448,375 22,345,126 11,172,563 33,517,690 16,758,845 50,276,536 25,138,268 12,569,134 6,284,567 18,853,702 9,426,851 28,280,554 14,140,277 42,420,832 21,210,416 10,605,208 5,302,604 2,651,302 1,325,651 3,976,954 1,988,477 5,965,432 2,982,716 1,491,358 745,679 2,237,038 1,118,519 3,355,558 1,677,779 5,033,338 2,516,669 7,550,008 3,775,004 1,887,502 943,751 2,831,254 1,415,627 4,246,882 2,123,441 6,370,324 3,185,162 1,592,581 4,777,744 2,388,872 1,194,436

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 #1,448,561 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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