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Ratio Atlas
Atlas › Integer Profiles › Node 34,992
34,992
24 × 37
Abundant Even Composite

Prime Factor Structure

Factorization String 2^4 × 3^7
Distinct Prime Factors 2
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 101,680
Proper Divisor Sum 66,688
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #34981 ← → #35023

Radix Representation

Decimal 34992
Binary 1000100010110000 (16 bits)
Octal 0o104260
Hexadecimal 0x88B0

Divisor Catalog (40)

1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 243 324 432 486 648 729 972 1,296 1,458 1,944 2,187 2,916 3,888 4,374 5,832 8,748 11,664 17,496 34,992

Collatz Trajectory (80 steps to reach 1)

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

34,992 17,496 8,748 4,374 2,187 6,562 3,281 9,844 4,922 2,461 7,384 3,692 1,846 923 2,770 1,385 4,156 2,078 1,039 3,118 1,559 4,678 2,339 7,018 3,509 10,528 5,264 2,632 1,316 658 329 988 494 247 742 371 1,114 557 1,672 836 418 209 628 314 157 472 236 118 59 178 89 268 134 67 202 101 304 152 76 38

Active Feeder Network

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

Feeder #6,449,649 Feeder #6,177,699 Feeder #4,494,486 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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