2⁶ × 3² × 29 × 47 × 59

Prime Factor Structure

Factorization String 2^6 × 3^2 × 29 × 47 × 59

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 168

Divisor Sum (σ) 142,646,400

Proper Divisor Sum 96,326,208

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #46320191 ← → #46320227

Radix Representation

Decimal	46320192
Binary	10110000101100101001000000 (26 bits)
Octal	0o260545100
Hexadecimal	0x2C2CA40

Divisor Catalog (60 of 168)

1 2 3 4 6 8 9 12 16 18 24 29 32 36 47 48 58 59 64 72 87 94 96 116 118 141 144 174 177 188 192 232 236 261 282 288 348 354 376 423 464 472 522 531 564 576 696 708 752 846 928 944 1,044 1,062 1,128 1,363 1,392 1,416 1,504 1,692

Collatz Trajectory (235 steps to reach 1)

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

46,320,192 23,160,096 11,580,048 5,790,024 2,895,012 1,447,506 723,753 2,171,260 1,085,630 542,815 1,628,446 814,223 2,442,670 1,221,335 3,664,006 1,832,003 5,496,010 2,748,005 8,244,016 4,122,008 2,061,004 1,030,502 515,251 1,545,754 772,877 2,318,632 1,159,316 579,658 289,829 869,488 434,744 217,372 108,686 54,343 163,030 81,515 244,546 122,273 366,820 183,410 91,705 275,116 137,558 68,779 206,338 103,169 309,508 154,754 77,377 232,132 116,066 58,033 174,100 87,050 43,525 130,576 65,288 32,644 16,322 8,161

Active Feeder Network

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

Feeder #3,913,373 Feeder #8,365,252 Feeder #6,970,568 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174

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