2⁵ × 3 × 5 × 29 × 31 × 61

Prime Factor Structure

Factorization String 2^5 × 3 × 5 × 29 × 31 × 61

Distinct Prime Factors 6

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 192

Divisor Sum (σ) 89,994,240

Proper Divisor Sum 63,671,520

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #26322713 ← → #26322731

Radix Representation

Decimal	26322720
Binary	1100100011010011100100000 (25 bits)
Octal	0o144323440
Hexadecimal	0x191A720

Divisor Catalog (60 of 192)

1 2 3 4 5 6 8 10 12 15 16 20 24 29 30 31 32 40 48 58 60 61 62 80 87 93 96 116 120 122 124 145 155 160 174 183 186 232 240 244 248 290 305 310 348 366 372 435 464 465 480 488 496 580 610 620 696 732 744 870

Collatz Trajectory (180 steps to reach 1)

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

26,322,720 13,161,360 6,580,680 3,290,340 1,645,170 822,585 2,467,756 1,233,878 616,939 1,850,818 925,409 2,776,228 1,388,114 694,057 2,082,172 1,041,086 520,543 1,561,630 780,815 2,342,446 1,171,223 3,513,670 1,756,835 5,270,506 2,635,253 7,905,760 3,952,880 1,976,440 988,220 494,110 247,055 741,166 370,583 1,111,750 555,875 1,667,626 833,813 2,501,440 1,250,720 625,360 312,680 156,340 78,170 39,085 117,256 58,628 29,314 14,657 43,972 21,986 10,993 32,980 16,490 8,245 24,736 12,368 6,184 3,092 1,546 773

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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