2³ × 3³ × 5 × 13 × 59

Prime Factor Structure

Factorization String 2^3 × 3^3 × 5 × 13 × 59

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 128

Divisor Sum (σ) 3,024,000

Proper Divisor Sum 2,195,640

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #828349 ← → #828361

Radix Representation

Decimal	828360
Binary	11001010001111001000 (20 bits)
Octal	0o3121710
Hexadecimal	0xCA3C8

Divisor Catalog (60 of 128)

1 2 3 4 5 6 8 9 10 12 13 15 18 20 24 26 27 30 36 39 40 45 52 54 59 60 65 72 78 90 104 108 117 118 120 130 135 156 177 180 195 216 234 236 260 270 295 312 351 354 360 390 468 472 520 531 540 585 590 702

Collatz Trajectory (144 steps to reach 1)

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

828,360 414,180 207,090 103,545 310,636 155,318 77,659 232,978 116,489 349,468 174,734 87,367 262,102 131,051 393,154 196,577 589,732 294,866 147,433 442,300 221,150 110,575 331,726 165,863 497,590 248,795 746,386 373,193 1,119,580 559,790 279,895 839,686 419,843 1,259,530 629,765 1,889,296 944,648 472,324 236,162 118,081 354,244 177,122 88,561 265,684 132,842 66,421 199,264 99,632 49,816 24,908 12,454 6,227 18,682 9,341 28,024 14,012 7,006 3,503 10,510 5,255

Active Feeder Network

Other feeder batches with open delivery windows. Each feeder keeps its own target batch.

Feeder #7,737,779 Feeder #685,881 Feeder #2,871,188 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174

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