2² × 5² × 7 × 11 × 37 × 89

Prime Factor Structure

Factorization String 2^2 × 5^2 × 7 × 11 × 37 × 89

Distinct Prime Factors 6

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 144

Divisor Sum (σ) 71,245,440

Proper Divisor Sum 45,889,340

Digit Sum / Digital Root 22 (Root: 4)

Adjacent Primes #25356073 ← → #25356103

Radix Representation

Decimal	25356100
Binary	1100000101110011101000100 (25 bits)
Octal	0o140563504
Hexadecimal	0x182E744

Divisor Catalog (60 of 144)

1 2 4 5 7 10 11 14 20 22 25 28 35 37 44 50 55 70 74 77 89 100 110 140 148 154 175 178 185 220 259 275 308 350 356 370 385 407 445 518 550 623 700 740 770 814 890 925 979 1,036 1,100 1,246 1,295 1,540 1,628 1,780 1,850 1,925 1,958 2,035

Collatz Trajectory (79 steps to reach 1)

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

25,356,100 12,678,050 6,339,025 19,017,076 9,508,538 4,754,269 14,262,808 7,131,404 3,565,702 1,782,851 5,348,554 2,674,277 8,022,832 4,011,416 2,005,708 1,002,854 501,427 1,504,282 752,141 2,256,424 1,128,212 564,106 282,053 846,160 423,080 211,540 105,770 52,885 158,656 79,328 39,664 19,832 9,916 4,958 2,479 7,438 3,719 11,158 5,579 16,738 8,369 25,108 12,554 6,277 18,832 9,416 4,708 2,354 1,177 3,532 1,766 883 2,650 1,325 3,976 1,988 994 497 1,492 746

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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