2³ × 5 × 11 × 13 × 31 × 73

Prime Factor Structure

Factorization String 2^3 × 5 × 11 × 13 × 31 × 73

Distinct Prime Factors 6

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 128

Divisor Sum (σ) 35,804,160

Proper Divisor Sum 22,859,800

Digit Sum / Digital Root 29 (Root: 2)

Adjacent Primes #12944341 ← → #12944369

Radix Representation

Decimal	12944360
Binary	110001011000001111101000 (24 bits)
Octal	0o61301750
Hexadecimal	0xC583E8

Divisor Catalog (60 of 128)

1 2 4 5 8 10 11 13 20 22 26 31 40 44 52 55 62 65 73 88 104 110 124 130 143 146 155 220 248 260 286 292 310 341 365 403 440 520 572 584 620 682 715 730 803 806 949 1,144 1,240 1,364 1,430 1,460 1,606 1,612 1,705 1,898 2,015 2,263 2,728 2,860

Collatz Trajectory (117 steps to reach 1)

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

12,944,360 6,472,180 3,236,090 1,618,045 4,854,136 2,427,068 1,213,534 606,767 1,820,302 910,151 2,730,454 1,365,227 4,095,682 2,047,841 6,143,524 3,071,762 1,535,881 4,607,644 2,303,822 1,151,911 3,455,734 1,727,867 5,183,602 2,591,801 7,775,404 3,887,702 1,943,851 5,831,554 2,915,777 8,747,332 4,373,666 2,186,833 6,560,500 3,280,250 1,640,125 4,920,376 2,460,188 1,230,094 615,047 1,845,142 922,571 2,767,714 1,383,857 4,151,572 2,075,786 1,037,893 3,113,680 1,556,840 778,420 389,210 194,605 583,816 291,908 145,954 72,977 218,932 109,466 54,733 164,200 82,100

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 #6,573,969 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174

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