2³ × 3² × 5 × 11 × 17 × 193

Prime Factor Structure

Factorization String 2^3 × 3^2 × 5 × 11 × 17 × 193

Distinct Prime Factors 6

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 192

Divisor Sum (σ) 49,027,680

Proper Divisor Sum 36,034,920

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #12992753 ← → #12992761

Radix Representation

Decimal	12992760
Binary	110001100100000011111000 (24 bits)
Octal	0o61440370
Hexadecimal	0xC640F8

Divisor Catalog (60 of 192)

1 2 3 4 5 6 8 9 10 11 12 15 17 18 20 22 24 30 33 34 36 40 44 45 51 55 60 66 68 72 85 88 90 99 102 110 120 132 136 153 165 170 180 187 193 198 204 220 255 264 306 330 340 360 374 386 396 408 440 495

Collatz Trajectory (166 steps to reach 1)

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

12,992,760 6,496,380 3,248,190 1,624,095 4,872,286 2,436,143 7,308,430 3,654,215 10,962,646 5,481,323 16,443,970 8,221,985 24,665,956 12,332,978 6,166,489 18,499,468 9,249,734 4,624,867 13,874,602 6,937,301 20,811,904 10,405,952 5,202,976 2,601,488 1,300,744 650,372 325,186 162,593 487,780 243,890 121,945 365,836 182,918 91,459 274,378 137,189 411,568 205,784 102,892 51,446 25,723 77,170 38,585 115,756 57,878 28,939 86,818 43,409 130,228 65,114 32,557 97,672 48,836 24,418 12,209 36,628 18,314 9,157 27,472 13,736

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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