2⁶ × 3⁵ × 13 × 47

Prime Factor Structure

Factorization String 2^6 × 3^5 × 13 × 47

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 168

Divisor Sum (σ) 31,065,216

Proper Divisor Sum 21,562,944

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #9502271 ← → #9502277

Radix Representation

Decimal	9502272
Binary	100100001111111001000000 (24 bits)
Octal	0o44177100
Hexadecimal	0x90FE40

Divisor Catalog (60 of 168)

1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 47 48 52 54 64 72 78 81 94 96 104 108 117 141 144 156 162 188 192 208 216 234 243 282 288 312 324 351 376 416 423 432 468 486 564 576 611 624 648 702 752 832 846

Collatz Trajectory (150 steps to reach 1)

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

9,502,272 4,751,136 2,375,568 1,187,784 593,892 296,946 148,473 445,420 222,710 111,355 334,066 167,033 501,100 250,550 125,275 375,826 187,913 563,740 281,870 140,935 422,806 211,403 634,210 317,105 951,316 475,658 237,829 713,488 356,744 178,372 89,186 44,593 133,780 66,890 33,445 100,336 50,168 25,084 12,542 6,271 18,814 9,407 28,222 14,111 42,334 21,167 63,502 31,751 95,254 47,627 142,882 71,441 214,324 107,162 53,581 160,744 80,372 40,186 20,093 60,280

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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