2⁵ × 3 × 5² × 7 × 29

Prime Factor Structure

Factorization String 2^5 × 3 × 5^2 × 7 × 29

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 144

Divisor Sum (σ) 1,874,880

Proper Divisor Sum 1,387,680

Digit Sum / Digital Root 21 (Root: 3)

Adjacent Primes #487187 ← → #487211

Radix Representation

Decimal	487200
Binary	1110110111100100000 (19 bits)
Octal	0o1667440
Hexadecimal	0x76F20

Divisor Catalog (60 of 144)

1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 25 28 29 30 32 35 40 42 48 50 56 58 60 70 75 80 84 87 96 100 105 112 116 120 140 145 150 160 168 174 175 200 203 210 224 232 240 280 290 300 336 348 350 400

Collatz Trajectory (89 steps to reach 1)

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

487,200 243,600 121,800 60,900 30,450 15,225 45,676 22,838 11,419 34,258 17,129 51,388 25,694 12,847 38,542 19,271 57,814 28,907 86,722 43,361 130,084 65,042 32,521 97,564 48,782 24,391 73,174 36,587 109,762 54,881 164,644 82,322 41,161 123,484 61,742 30,871 92,614 46,307 138,922 69,461 208,384 104,192 52,096 26,048 13,024 6,512 3,256 1,628 814 407 1,222 611 1,834 917 2,752 1,376 688 344 172 86

Active Feeder Network

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

Feeder #3,913,373 Feeder #8,365,252 Feeder #6,573,969 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174

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