2⁵ × 3 × 5³ × 7 × 83

Prime Factor Structure

Factorization String 2^5 × 3 × 5^3 × 7 × 83

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 192

Divisor Sum (σ) 26,417,664

Proper Divisor Sum 19,445,664

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #6971981 ← → #6972001

Radix Representation

Decimal	6972000
Binary	11010100110001001100000 (23 bits)
Octal	0o32461140
Hexadecimal	0x6A6260

Divisor Catalog (60 of 192)

1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 25 28 30 32 35 40 42 48 50 56 60 70 75 80 83 84 96 100 105 112 120 125 140 150 160 166 168 175 200 210 224 240 249 250 280 300 332 336 350 375 400 415 420 480

Collatz Trajectory (191 steps to reach 1)

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

6,972,000 3,486,000 1,743,000 871,500 435,750 217,875 653,626 326,813 980,440 490,220 245,110 122,555 367,666 183,833 551,500 275,750 137,875 413,626 206,813 620,440 310,220 155,110 77,555 232,666 116,333 349,000 174,500 87,250 43,625 130,876 65,438 32,719 98,158 49,079 147,238 73,619 220,858 110,429 331,288 165,644 82,822 41,411 124,234 62,117 186,352 93,176 46,588 23,294 11,647 34,942 17,471 52,414 26,207 78,622 39,311 117,934 58,967 176,902 88,451 265,354

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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