2⁵ × 5³ × 7 × 13 × 23

Prime Factor Structure

Factorization String 2^5 × 5^3 × 7 × 13 × 23

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 192

Divisor Sum (σ) 26,417,664

Proper Divisor Sum 18,045,664

Digit Sum / Digital Root 20 (Root: 2)

Adjacent Primes #8371999 ← → #8372029

Radix Representation

Decimal	8372000
Binary	11111111011111100100000 (23 bits)
Octal	0o37737440
Hexadecimal	0x7FBF20

Divisor Catalog (60 of 192)

1 2 4 5 7 8 10 13 14 16 20 23 25 26 28 32 35 40 46 50 52 56 65 70 80 91 92 100 104 112 115 125 130 140 160 161 175 182 184 200 208 224 230 250 260 280 299 322 325 350 364 368 400 416 455 460 500 520 560 575

Collatz Trajectory (155 steps to reach 1)

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

8,372,000 4,186,000 2,093,000 1,046,500 523,250 261,625 784,876 392,438 196,219 588,658 294,329 882,988 441,494 220,747 662,242 331,121 993,364 496,682 248,341 745,024 372,512 186,256 93,128 46,564 23,282 11,641 34,924 17,462 8,731 26,194 13,097 39,292 19,646 9,823 29,470 14,735 44,206 22,103 66,310 33,155 99,466 49,733 149,200 74,600 37,300 18,650 9,325 27,976 13,988 6,994 3,497 10,492 5,246 2,623 7,870 3,935 11,806 5,903 17,710 8,855

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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