2⁴ × 3⁵ × 11 × 167

Prime Factor Structure

Factorization String 2^4 × 3^5 × 11 × 167

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 120

Divisor Sum (σ) 22,748,544

Proper Divisor Sum 15,606,288

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #7142209 ← → #7142263

Radix Representation

Decimal	7142256
Binary	11011001111101101110000 (23 bits)
Octal	0o33175560
Hexadecimal	0x6CFB70

Divisor Catalog (60 of 120)

1 2 3 4 6 8 9 11 12 16 18 22 24 27 33 36 44 48 54 66 72 81 88 99 108 132 144 162 167 176 198 216 243 264 297 324 334 396 432 486 501 528 594 648 668 792 891 972 1,002 1,188 1,296 1,336 1,503 1,584 1,782 1,837 1,944 2,004 2,376 2,672

Collatz Trajectory (191 steps to reach 1)

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

7,142,256 3,571,128 1,785,564 892,782 446,391 1,339,174 669,587 2,008,762 1,004,381 3,013,144 1,506,572 753,286 376,643 1,129,930 564,965 1,694,896 847,448 423,724 211,862 105,931 317,794 158,897 476,692 238,346 119,173 357,520 178,760 89,380 44,690 22,345 67,036 33,518 16,759 50,278 25,139 75,418 37,709 113,128 56,564 28,282 14,141 42,424 21,212 10,606 5,303 15,910 7,955 23,866 11,933 35,800 17,900 8,950 4,475 13,426 6,713 20,140 10,070 5,035 15,106 7,553

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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