2⁵ × 3³ × 13 × 31

Prime Factor Structure

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

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 96

Divisor Sum (σ) 1,128,960

Proper Divisor Sum 780,768

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #348191 ← → #348209

Radix Representation

Decimal	348192
Binary	1010101000000100000 (19 bits)
Octal	0o1250040
Hexadecimal	0x55020

Divisor Catalog (60 of 96)

1 2 3 4 6 8 9 12 13 16 18 24 26 27 31 32 36 39 48 52 54 62 72 78 93 96 104 108 117 124 144 156 186 208 216 234 248 279 288 312 351 372 403 416 432 468 496 558 624 702 744 806 837 864 936 992 1,116 1,209 1,248 1,404

Collatz Trajectory (184 steps to reach 1)

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

348,192 174,096 87,048 43,524 21,762 10,881 32,644 16,322 8,161 24,484 12,242 6,121 18,364 9,182 4,591 13,774 6,887 20,662 10,331 30,994 15,497 46,492 23,246 11,623 34,870 17,435 52,306 26,153 78,460 39,230 19,615 58,846 29,423 88,270 44,135 132,406 66,203 198,610 99,305 297,916 148,958 74,479 223,438 111,719 335,158 167,579 502,738 251,369 754,108 377,054 188,527 565,582 282,791 848,374 424,187 1,272,562 636,281 1,908,844 954,422 477,211

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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