2³ × 3⁴ × 13 × 23

Prime Factor Structure

Factorization String 2^3 × 3^4 × 13 × 23

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 80

Divisor Sum (σ) 609,840

Proper Divisor Sum 416,088

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #193751 ← → #193757

Radix Representation

Decimal	193752
Binary	101111010011011000 (18 bits)
Octal	0o572330
Hexadecimal	0x2F4D8

Divisor Catalog (60 of 80)

1 2 3 4 6 8 9 12 13 18 23 24 26 27 36 39 46 52 54 69 72 78 81 92 104 108 117 138 156 162 184 207 216 234 276 299 312 324 351 414 468 552 598 621 648 702 828 897 936 1,053 1,196 1,242 1,404 1,656 1,794 1,863 2,106 2,392 2,484 2,691

Collatz Trajectory (222 steps to reach 1)

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

193,752 96,876 48,438 24,219 72,658 36,329 108,988 54,494 27,247 81,742 40,871 122,614 61,307 183,922 91,961 275,884 137,942 68,971 206,914 103,457 310,372 155,186 77,593 232,780 116,390 58,195 174,586 87,293 261,880 130,940 65,470 32,735 98,206 49,103 147,310 73,655 220,966 110,483 331,450 165,725 497,176 248,588 124,294 62,147 186,442 93,221 279,664 139,832 69,916 34,958 17,479 52,438 26,219 78,658 39,329 117,988 58,994 29,497 88,492 44,246

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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