2 × 3² × 5² × 11 × 37 × 53

Prime Factor Structure

Factorization String 2 × 3^2 × 5^2 × 11 × 37 × 53

Distinct Prime Factors 6

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 144

Divisor Sum (σ) 29,770,416

Proper Divisor Sum 20,063,466

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #9706927 ← → #9706979

Radix Representation

Decimal	9706950
Binary	100101000001110111000110 (24 bits)
Octal	0o45016706
Hexadecimal	0x941DC6

Divisor Catalog (60 of 144)

1 2 3 5 6 9 10 11 15 18 22 25 30 33 37 45 50 53 55 66 74 75 90 99 106 110 111 150 159 165 185 198 222 225 265 275 318 330 333 370 407 450 477 495 530 550 555 583 666 795 814 825 925 954 990 1,110 1,166 1,221 1,325 1,590

Collatz Trajectory (207 steps to reach 1)

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

9,706,950 4,853,475 14,560,426 7,280,213 21,840,640 10,920,320 5,460,160 2,730,080 1,365,040 682,520 341,260 170,630 85,315 255,946 127,973 383,920 191,960 95,980 47,990 23,995 71,986 35,993 107,980 53,990 26,995 80,986 40,493 121,480 60,740 30,370 15,185 45,556 22,778 11,389 34,168 17,084 8,542 4,271 12,814 6,407 19,222 9,611 28,834 14,417 43,252 21,626 10,813 32,440 16,220 8,110 4,055 12,166 6,083 18,250 9,125 27,376 13,688 6,844 3,422 1,711

Active Feeder Network

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

Feeder #7,737,779 Feeder #685,881 Feeder #2,871,188 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174

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