2⁸ × 3 × 5³ × 7

Prime Factor Structure

Factorization String 2^8 × 3 × 5^3 × 7

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 144

Divisor Sum (σ) 2,550,912

Proper Divisor Sum 1,878,912

Digit Sum / Digital Root 15 (Root: 6)

Adjacent Primes #671999 ← → #672019

Radix Representation

Decimal	672000
Binary	10100100000100000000 (20 bits)
Octal	0o2440400
Hexadecimal	0xA4100

Divisor Catalog (60 of 144)

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 64 70 75 80 84 96 100 105 112 120 125 128 140 150 160 168 175 192 200 210 224 240 250 256 280 300 320 336 350 375 384 400 420

Collatz Trajectory (35 steps to reach 1)

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

672,000 336,000 168,000 84,000 42,000 21,000 10,500 5,250 2,625 7,876 3,938 1,969 5,908 2,954 1,477 4,432 2,216 1,108 554 277 832 416 208 104 52 26 13 40 20 10 5 16 8 4 2 1

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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