λ
Ratio Atlas
Atlas › Integer Profiles › Node 733,865
733,865
5 × 112 × 1213
Deficient Odd Composite

Prime Factor Structure

Factorization String 5 × 11^2 × 1213
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 968,772
Proper Divisor Sum 234,907
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #733849 ← → #733867

Radix Representation

Decimal 733865
Binary 10110011001010101001 (20 bits)
Octal 0o2631251
Hexadecimal 0xB32A9

Divisor Catalog (12)

1 5 11 55 121 605 1,213 6,065 13,343 66,715 146,773 733,865

Collatz Trajectory (317 steps to reach 1)

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

733,865 2,201,596 1,100,798 550,399 1,651,198 825,599 2,476,798 1,238,399 3,715,198 1,857,599 5,572,798 2,786,399 8,359,198 4,179,599 12,538,798 6,269,399 18,808,198 9,404,099 28,212,298 14,106,149 42,318,448 21,159,224 10,579,612 5,289,806 2,644,903 7,934,710 3,967,355 11,902,066 5,951,033 17,853,100 8,926,550 4,463,275 13,389,826 6,694,913 20,084,740 10,042,370 5,021,185 15,063,556 7,531,778 3,765,889 11,297,668 5,648,834 2,824,417 8,473,252 4,236,626 2,118,313 6,354,940 3,177,470 1,588,735 4,766,206 2,383,103 7,149,310 3,574,655 10,723,966 5,361,983 16,085,950 8,042,975 24,128,926 12,064,463 36,193,390

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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