2⁷ × 5² × 13 × 17

Prime Factor Structure

Factorization String 2^7 × 5^2 × 13 × 17

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 96

Divisor Sum (σ) 1,992,060

Proper Divisor Sum 1,284,860

Digit Sum / Digital Root 16 (Root: 7)

Adjacent Primes #707197 ← → #707219

Radix Representation

Decimal	707200
Binary	10101100101010000000 (20 bits)
Octal	0o2545200
Hexadecimal	0xACA80

Divisor Catalog (60 of 96)

1 2 4 5 8 10 13 16 17 20 25 26 32 34 40 50 52 64 65 68 80 85 100 104 128 130 136 160 170 200 208 221 260 272 320 325 340 400 416 425 442 520 544 640 650 680 800 832 850 884 1,040 1,088 1,105 1,300 1,360 1,600 1,664 1,700 1,768 2,080

Collatz Trajectory (136 steps to reach 1)

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

707,200 353,600 176,800 88,400 44,200 22,100 11,050 5,525 16,576 8,288 4,144 2,072 1,036 518 259 778 389 1,168 584 292 146 73 220 110 55 166 83 250 125 376 188 94 47 142 71 214 107 322 161 484 242 121 364 182 91 274 137 412 206 103 310 155 466 233 700 350 175 526 263 790

Active Feeder Network

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

Feeder #6,411,996 Feeder #5,213,165 Feeder #8,297,652 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174

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