2⁵ × 3 × 17 × 19

Prime Factor Structure

Factorization String 2^5 × 3 × 17 × 19

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 90,720

Proper Divisor Sum 59,712

Digit Sum / Digital Root 12 (Root: 3)

Adjacent Primes #30983 ← → #31013

Radix Representation

Decimal	31008
Binary	111100100100000 (15 bits)
Octal	0o74440
Hexadecimal	0x7920

Divisor Catalog (48)

1 2 3 4 6 8 12 16 17 19 24 32 34 38 48 51 57 68 76 96 102 114 136 152 204 228 272 304 323 408 456 544 608 646 816 912 969 1,292 1,632 1,824 1,938 2,584 3,876 5,168 7,752 10,336 15,504 31,008

Collatz Trajectory (54 steps to reach 1)

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

31,008 15,504 7,752 3,876 1,938 969 2,908 1,454 727 2,182 1,091 3,274 1,637 4,912 2,456 1,228 614 307 922 461 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 #7,737,779 Feeder #685,881 Feeder #2,871,188 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174

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