2² × 3 × 5 × 7 × 17

Prime Factor Structure

Factorization String 2^2 × 3 × 5 × 7 × 17

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 24,192

Proper Divisor Sum 17,052

Digit Sum / Digital Root 12 (Root: 3)

Adjacent Primes #7129 ← → #7151

Radix Representation

Decimal	7140
Binary	1101111100100 (13 bits)
Octal	0o15744
Hexadecimal	0x1BE4

Divisor Catalog (48)

1 2 3 4 5 6 7 10 12 14 15 17 20 21 28 30 34 35 42 51 60 68 70 84 85 102 105 119 140 170 204 210 238 255 340 357 420 476 510 595 714 1,020 1,190 1,428 1,785 2,380 3,570 7,140

Collatz Trajectory (31 steps to reach 1)

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

7,140 3,570 1,785 5,356 2,678 1,339 4,018 2,009 6,028 3,014 1,507 4,522 2,261 6,784 3,392 1,696 848 424 212 106 53 160 80 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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