2² × 3⁴ × 5² × 7

Prime Factor Structure

Factorization String 2^2 × 3^4 × 5^2 × 7

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 90

Divisor Sum (σ) 210,056

Proper Divisor Sum 153,356

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #56687 ← → #56701

Radix Representation

Decimal	56700
Binary	1101110101111100 (16 bits)
Octal	0o156574
Hexadecimal	0xDD7C

Divisor Catalog (60 of 90)

1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 25 27 28 30 35 36 42 45 50 54 60 63 70 75 81 84 90 100 105 108 126 135 140 150 162 175 180 189 210 225 252 270 300 315 324 350 378 405 420 450 525 540 567 630 675

Collatz Trajectory (60 steps to reach 1)

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

56,700 28,350 14,175 42,526 21,263 63,790 31,895 95,686 47,843 143,530 71,765 215,296 107,648 53,824 26,912 13,456 6,728 3,364 1,682 841 2,524 1,262 631 1,894 947 2,842 1,421 4,264 2,132 1,066 533 1,600 800 400 200 100 50 25 76 38 19 58 29 88 44 22 11 34 17 52 26 13 40 20 10 5 16 8 4 2

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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