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Integer Codex
Atlas › Integer Profiles › Node 78,732
78,732
22 × 39
Abundant Even Composite

Prime Factor Structure

Factorization String 2^2 × 3^9
Distinct Prime Factors 2
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 30
Divisor Sum (σ) 206,668
Proper Divisor Sum 127,936
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #78721 ← → #78737

Radix Representation

Decimal 78732
Binary 10011001110001100 (17 bits)
Octal 0o231614
Hexadecimal 0x1338C

Divisor Catalog (30)

1 2 3 4 6 9 12 18 27 36 54 81 108 162 243 324 486 729 972 1,458 2,187 2,916 4,374 6,561 8,748 13,122 19,683 26,244 39,366 78,732

Collatz Trajectory (45 steps to reach 1)

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

78,732 39,366 19,683 59,050 29,525 88,576 44,288 22,144 11,072 5,536 2,768 1,384 692 346 173 520 260 130 65 196 98 49 148 74 37 112 56 28 14 7 22 11 34 17 52 26 13 40 20 10 5 16 8 4 2 1

Active Feeder Network

Other feeder batches with open delivery windows. Each feeder keeps its own target batch.

Feeder #6,573,969 Feeder #2,443,427 Feeder #6,845,105 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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