2⁶ × 3 × 7 × 71 × 73

Prime Factor Structure

Factorization String 2^6 × 3 × 7 × 71 × 73

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 112

Divisor Sum (σ) 21,652,992

Proper Divisor Sum 14,687,040

Digit Sum / Digital Root 42 (Root: 6)

Adjacent Primes #6965947 ← → #6965963

Radix Representation

Decimal	6965952
Binary	11010100100101011000000 (23 bits)
Octal	0o32445300
Hexadecimal	0x6A4AC0

Divisor Catalog (60 of 112)

1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 71 73 84 96 112 142 146 168 192 213 219 224 284 292 336 426 438 448 497 511 568 584 672 852 876 994 1,022 1,136 1,168 1,344 1,491 1,533 1,704 1,752 1,988 2,044 2,272 2,336 2,982 3,066 3,408 3,504

Collatz Trajectory (191 steps to reach 1)

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

6,965,952 3,482,976 1,741,488 870,744 435,372 217,686 108,843 326,530 163,265 489,796 244,898 122,449 367,348 183,674 91,837 275,512 137,756 68,878 34,439 103,318 51,659 154,978 77,489 232,468 116,234 58,117 174,352 87,176 43,588 21,794 10,897 32,692 16,346 8,173 24,520 12,260 6,130 3,065 9,196 4,598 2,299 6,898 3,449 10,348 5,174 2,587 7,762 3,881 11,644 5,822 2,911 8,734 4,367 13,102 6,551 19,654 9,827 29,482 14,741 44,224

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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