2³ × 3² × 5³ × 53

Prime Factor Structure

Factorization String 2^3 × 3^2 × 5^3 × 53

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 96

Divisor Sum (σ) 1,642,680

Proper Divisor Sum 1,165,680

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #476989 ← → #477011

Radix Representation

Decimal	477000
Binary	1110100011101001000 (19 bits)
Octal	0o1643510
Hexadecimal	0x74748

Divisor Catalog (60 of 96)

1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 45 50 53 60 72 75 90 100 106 120 125 150 159 180 200 212 225 250 265 300 318 360 375 424 450 477 500 530 600 636 750 795 900 954 1,000 1,060 1,125 1,272 1,325 1,500 1,590 1,800

Collatz Trajectory (120 steps to reach 1)

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

477,000 238,500 119,250 59,625 178,876 89,438 44,719 134,158 67,079 201,238 100,619 301,858 150,929 452,788 226,394 113,197 339,592 169,796 84,898 42,449 127,348 63,674 31,837 95,512 47,756 23,878 11,939 35,818 17,909 53,728 26,864 13,432 6,716 3,358 1,679 5,038 2,519 7,558 3,779 11,338 5,669 17,008 8,504 4,252 2,126 1,063 3,190 1,595 4,786 2,393 7,180 3,590 1,795 5,386 2,693 8,080 4,040 2,020 1,010 505

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 #6,970,568 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174

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