2⁵ × 3² × 5² × 1361

Prime Factor Structure

Factorization String 2^5 × 3^2 × 5^2 × 1361

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 108

Divisor Sum (σ) 34,579,818

Proper Divisor Sum 24,780,618

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #9799183 ← → #9799211

Radix Representation

Decimal	9799200
Binary	100101011000011000100000 (24 bits)
Octal	0o45303040
Hexadecimal	0x958620

Divisor Catalog (60 of 108)

1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 30 32 36 40 45 48 50 60 72 75 80 90 96 100 120 144 150 160 180 200 225 240 288 300 360 400 450 480 600 720 800 900 1,200 1,361 1,440 1,800 2,400 2,722 3,600 4,083 5,444 6,805 7,200 8,166

Collatz Trajectory (119 steps to reach 1)

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

9,799,200 4,899,600 2,449,800 1,224,900 612,450 306,225 918,676 459,338 229,669 689,008 344,504 172,252 86,126 43,063 129,190 64,595 193,786 96,893 290,680 145,340 72,670 36,335 109,006 54,503 163,510 81,755 245,266 122,633 367,900 183,950 91,975 275,926 137,963 413,890 206,945 620,836 310,418 155,209 465,628 232,814 116,407 349,222 174,611 523,834 261,917 785,752 392,876 196,438 98,219 294,658 147,329 441,988 220,994 110,497 331,492 165,746 82,873 248,620 124,310 62,155

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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