2⁶ × 3² × 5² × 677

Prime Factor Structure

Factorization String 2^6 × 3^2 × 5^2 × 677

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 126

Divisor Sum (σ) 34,700,718

Proper Divisor Sum 24,951,918

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #9748799 ← → #9748819

Radix Representation

Decimal	9748800
Binary	100101001100000101000000 (24 bits)
Octal	0o45140500
Hexadecimal	0x94C140

Divisor Catalog (60 of 126)

1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 30 32 36 40 45 48 50 60 64 72 75 80 90 96 100 120 144 150 160 180 192 200 225 240 288 300 320 360 400 450 480 576 600 677 720 800 900 960 1,200 1,354 1,440 1,600 1,800 2,031

Collatz Trajectory (114 steps to reach 1)

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

9,748,800 4,874,400 2,437,200 1,218,600 609,300 304,650 152,325 456,976 228,488 114,244 57,122 28,561 85,684 42,842 21,421 64,264 32,132 16,066 8,033 24,100 12,050 6,025 18,076 9,038 4,519 13,558 6,779 20,338 10,169 30,508 15,254 7,627 22,882 11,441 34,324 17,162 8,581 25,744 12,872 6,436 3,218 1,609 4,828 2,414 1,207 3,622 1,811 5,434 2,717 8,152 4,076 2,038 1,019 3,058 1,529 4,588 2,294 1,147 3,442 1,721

Active Feeder Network

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

Feeder #6,573,969 Feeder #6,845,105 Feeder #8,750,980 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174

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