2⁶ × 17 × 29

Prime Factor Structure

Factorization String 2^6 × 17 × 29

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 28

Divisor Sum (σ) 68,580

Proper Divisor Sum 37,028

Digit Sum / Digital Root 16 (Root: 7)

Adjacent Primes #31547 ← → #31567

Radix Representation

Decimal	31552
Binary	111101101000000 (15 bits)
Octal	0o75500
Hexadecimal	0x7B40

Divisor Catalog (28)

1 2 4 8 16 17 29 32 34 58 64 68 116 136 232 272 464 493 544 928 986 1,088 1,856 1,972 3,944 7,888 15,776 31,552

Collatz Trajectory (54 steps to reach 1)

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

31,552 15,776 7,888 3,944 1,972 986 493 1,480 740 370 185 556 278 139 418 209 628 314 157 472 236 118 59 178 89 268 134 67 202 101 304 152 76 38 19 58 29 88 44 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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