2⁸ × 3² × 11 × 17 × 107

Prime Factor Structure

Factorization String 2^8 × 3^2 × 11 × 17 × 107

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 216

Divisor Sum (σ) 154,967,904

Proper Divisor Sum 108,867,168

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #46100713 ← → #46100737

Radix Representation

Decimal	46100736
Binary	10101111110111000100000000 (26 bits)
Octal	0o257670400
Hexadecimal	0x2BF7100

Divisor Catalog (60 of 216)

1 2 3 4 6 8 9 11 12 16 17 18 22 24 32 33 34 36 44 48 51 64 66 68 72 88 96 99 102 107 128 132 136 144 153 176 187 192 198 204 214 256 264 272 288 306 321 352 374 384 396 408 428 528 544 561 576 612 642 704

Collatz Trajectory (72 steps to reach 1)

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

46,100,736 23,050,368 11,525,184 5,762,592 2,881,296 1,440,648 720,324 360,162 180,081 540,244 270,122 135,061 405,184 202,592 101,296 50,648 25,324 12,662 6,331 18,994 9,497 28,492 14,246 7,123 21,370 10,685 32,056 16,028 8,014 4,007 12,022 6,011 18,034 9,017 27,052 13,526 6,763 20,290 10,145 30,436 15,218 7,609 22,828 11,414 5,707 17,122 8,561 25,684 12,842 6,421 19,264 9,632 4,816 2,408 1,204 602 301 904 452 226

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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