λ
Ratio Atlas
Atlas › Integer Profiles › Node 32,436,664
32,436,664
23 × 13 × 31 × 10061
Abundant Even Composite

Prime Factor Structure

Factorization String 2^3 × 13 × 31 × 10061
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 67,616,640
Proper Divisor Sum 35,179,976
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #32436661 ← → #32436683

Radix Representation

Decimal 32436664
Binary 1111011101111000110111000 (25 bits)
Octal 0o173570670
Hexadecimal 0x1EEF1B8

Divisor Catalog (32)

1 2 4 8 13 26 31 52 62 104 124 248 403 806 1,612 3,224 10,061 20,122 40,244 80,488 130,793 261,586 311,891 523,172 623,782 1,046,344 1,247,564 2,495,128 4,054,583 8,109,166 16,218,332 32,436,664

Collatz Trajectory (139 steps to reach 1)

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

32,436,664 16,218,332 8,109,166 4,054,583 12,163,750 6,081,875 18,245,626 9,122,813 27,368,440 13,684,220 6,842,110 3,421,055 10,263,166 5,131,583 15,394,750 7,697,375 23,092,126 11,546,063 34,638,190 17,319,095 51,957,286 25,978,643 77,935,930 38,967,965 116,903,896 58,451,948 29,225,974 14,612,987 43,838,962 21,919,481 65,758,444 32,879,222 16,439,611 49,318,834 24,659,417 73,978,252 36,989,126 18,494,563 55,483,690 27,741,845 83,225,536 41,612,768 20,806,384 10,403,192 5,201,596 2,600,798 1,300,399 3,901,198 1,950,599 5,851,798 2,925,899 8,777,698 4,388,849 13,166,548 6,583,274 3,291,637 9,874,912 4,937,456 2,468,728 1,234,364

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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