2⁴ × 3⁴ × 5 × 1531

Prime Factor Structure

Factorization String 2^4 × 3^4 × 5 × 1531

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 100

Divisor Sum (σ) 34,479,192

Proper Divisor Sum 24,558,312

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #9920873 ← → #9920881

Radix Representation

Decimal	9920880
Binary	100101110110000101110000 (24 bits)
Octal	0o45660560
Hexadecimal	0x976170

Divisor Catalog (60 of 100)

1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 81 90 108 120 135 144 162 180 216 240 270 324 360 405 432 540 648 720 810 1,080 1,296 1,531 1,620 2,160 3,062 3,240 4,593 6,124 6,480 7,655 9,186 12,248 13,779 15,310 18,372

Collatz Trajectory (176 steps to reach 1)

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

9,920,880 4,960,440 2,480,220 1,240,110 620,055 1,860,166 930,083 2,790,250 1,395,125 4,185,376 2,092,688 1,046,344 523,172 261,586 130,793 392,380 196,190 98,095 294,286 147,143 441,430 220,715 662,146 331,073 993,220 496,610 248,305 744,916 372,458 186,229 558,688 279,344 139,672 69,836 34,918 17,459 52,378 26,189 78,568 39,284 19,642 9,821 29,464 14,732 7,366 3,683 11,050 5,525 16,576 8,288 4,144 2,072 1,036 518 259 778 389 1,168 584 292

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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