2³ × 3² × 7 × 13 × 89

Prime Factor Structure

Factorization String 2^3 × 3^2 × 7 × 13 × 89

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 96

Divisor Sum (σ) 1,965,600

Proper Divisor Sum 1,382,472

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #583127 ← → #583139

Radix Representation

Decimal	583128
Binary	10001110010111011000 (20 bits)
Octal	0o2162730
Hexadecimal	0x8E5D8

Divisor Catalog (60 of 96)

1 2 3 4 6 7 8 9 12 13 14 18 21 24 26 28 36 39 42 52 56 63 72 78 84 89 91 104 117 126 156 168 178 182 234 252 267 273 312 356 364 468 504 534 546 623 712 728 801 819 936 1,068 1,092 1,157 1,246 1,602 1,638 1,869 2,136 2,184

Collatz Trajectory (115 steps to reach 1)

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

583,128 291,564 145,782 72,891 218,674 109,337 328,012 164,006 82,003 246,010 123,005 369,016 184,508 92,254 46,127 138,382 69,191 207,574 103,787 311,362 155,681 467,044 233,522 116,761 350,284 175,142 87,571 262,714 131,357 394,072 197,036 98,518 49,259 147,778 73,889 221,668 110,834 55,417 166,252 83,126 41,563 124,690 62,345 187,036 93,518 46,759 140,278 70,139 210,418 105,209 315,628 157,814 78,907 236,722 118,361 355,084 177,542 88,771 266,314 133,157

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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