2² × 5² × 7 × 11

Prime Factor Structure

Factorization String 2^2 × 5^2 × 7 × 11

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 36

Divisor Sum (σ) 20,832

Proper Divisor Sum 13,132

Digit Sum / Digital Root 14 (Root: 5)

Adjacent Primes #7699 ← → #7703

Radix Representation

Decimal	7700
Binary	1111000010100 (13 bits)
Octal	0o17024
Hexadecimal	0x1E14

Divisor Catalog (36)

1 2 4 5 7 10 11 14 20 22 25 28 35 44 50 55 70 77 100 110 140 154 175 220 275 308 350 385 550 700 770 1,100 1,540 1,925 3,850 7,700

Collatz Trajectory (52 steps to reach 1)

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

7,700 3,850 1,925 5,776 2,888 1,444 722 361 1,084 542 271 814 407 1,222 611 1,834 917 2,752 1,376 688 344 172 86 43 130 65 196 98 49 148 74 37 112 56 28 14 7 22 11 34 17 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 #6,573,969 Feeder #2,443,427 Feeder #6,845,105 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174

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