2⁶ × 5³ × 7² × 41

Prime Factor Structure

Factorization String 2^6 × 5^3 × 7^2 × 41

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 168

Divisor Sum (σ) 47,429,928

Proper Divisor Sum 31,357,928

Digit Sum / Digital Root 16 (Root: 7)

Adjacent Primes #16071989 ← → #16072019

Radix Representation

Decimal	16072000
Binary	111101010011110101000000 (24 bits)
Octal	0o75236500
Hexadecimal	0xF53D40

Divisor Catalog (60 of 168)

1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 41 49 50 56 64 70 80 82 98 100 112 125 140 160 164 175 196 200 205 224 245 250 280 287 320 328 350 392 400 410 448 490 500 560 574 656 700 784 800 820 875 980 1,000 1,025 1,120

Collatz Trajectory (138 steps to reach 1)

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

16,072,000 8,036,000 4,018,000 2,009,000 1,004,500 502,250 251,125 753,376 376,688 188,344 94,172 47,086 23,543 70,630 35,315 105,946 52,973 158,920 79,460 39,730 19,865 59,596 29,798 14,899 44,698 22,349 67,048 33,524 16,762 8,381 25,144 12,572 6,286 3,143 9,430 4,715 14,146 7,073 21,220 10,610 5,305 15,916 7,958 3,979 11,938 5,969 17,908 8,954 4,477 13,432 6,716 3,358 1,679 5,038 2,519 7,558 3,779 11,338 5,669 17,008

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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