2¹³ × 3 × 29

Prime Factor Structure

Factorization String 2^13 × 3 × 29

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 56

Divisor Sum (σ) 1,965,960

Proper Divisor Sum 1,253,256

Digit Sum / Digital Root 21 (Root: 3)

Adjacent Primes #712697 ← → #712711

Radix Representation

Decimal	712704
Binary	10101110000000000000 (20 bits)
Octal	0o2560000
Hexadecimal	0xAE000

Divisor Catalog (56)

1 2 3 4 6 8 12 16 24 29 32 48 58 64 87 96 116 128 174 192 232 256 348 384 464 512 696 768 928 1,024 1,392 1,536 1,856 2,048 2,784 3,072 3,712 4,096 5,568 6,144 7,424 8,192 11,136 12,288 14,848 22,272 24,576 29,696 44,544 59,392 89,088 118,784 178,176 237,568 356,352 712,704

Collatz Trajectory (43 steps to reach 1)

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

712,704 356,352 178,176 89,088 44,544 22,272 11,136 5,568 2,784 1,392 696 348 174 87 262 131 394 197 592 296 148 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 #3,913,373 Feeder #8,365,252 Feeder #6,970,568 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174

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