λ
Ratio Atlas
Atlas › Integer Profiles › Node 23,968,672
23,968,672
25 × 7 × 13 × 8231
Abundant Even Composite

Prime Factor Structure

Factorization String 2^5 × 7 × 13 × 8231
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 58,084,992
Proper Divisor Sum 34,116,320
Digit Sum / Digital Root 43 (Root: 7)
Adjacent Primes #23968663 ← → #23968697

Radix Representation

Decimal 23968672
Binary 1011011011011101110100000 (25 bits)
Octal 0o133335640
Hexadecimal 0x16DBBA0

Divisor Catalog (48)

1 2 4 7 8 13 14 16 26 28 32 52 56 91 104 112 182 208 224 364 416 728 1,456 2,912 8,231 16,462 32,924 57,617 65,848 107,003 115,234 131,696 214,006 230,468 263,392 428,012 460,936 749,021 856,024 921,872 1,498,042 1,712,048 1,843,744 2,996,084 3,424,096 5,992,168 11,984,336 23,968,672

Collatz Trajectory (154 steps to reach 1)

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

23,968,672 11,984,336 5,992,168 2,996,084 1,498,042 749,021 2,247,064 1,123,532 561,766 280,883 842,650 421,325 1,263,976 631,988 315,994 157,997 473,992 236,996 118,498 59,249 177,748 88,874 44,437 133,312 66,656 33,328 16,664 8,332 4,166 2,083 6,250 3,125 9,376 4,688 2,344 1,172 586 293 880 440 220 110 55 166 83 250 125 376 188 94 47 142 71 214 107 322 161 484 242 121

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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