2⁴ × 5² × 7³ × 13

Prime Factor Structure

Factorization String 2^4 × 5^2 × 7^3 × 13

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 120

Divisor Sum (σ) 5,381,600

Proper Divisor Sum 3,598,000

Digit Sum / Digital Root 25 (Root: 7)

Adjacent Primes #1783577 ← → #1783601

Radix Representation

Decimal	1783600
Binary	110110011011100110000 (21 bits)
Octal	0o6633460
Hexadecimal	0x1B3730

Divisor Catalog (60 of 120)

1 2 4 5 7 8 10 13 14 16 20 25 26 28 35 40 49 50 52 56 65 70 80 91 98 100 104 112 130 140 175 182 196 200 208 245 260 280 325 343 350 364 392 400 455 490 520 560 637 650 686 700 728 784 910 980 1,040 1,225 1,274 1,300

Collatz Trajectory (96 steps to reach 1)

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

1,783,600 891,800 445,900 222,950 111,475 334,426 167,213 501,640 250,820 125,410 62,705 188,116 94,058 47,029 141,088 70,544 35,272 17,636 8,818 4,409 13,228 6,614 3,307 9,922 4,961 14,884 7,442 3,721 11,164 5,582 2,791 8,374 4,187 12,562 6,281 18,844 9,422 4,711 14,134 7,067 21,202 10,601 31,804 15,902 7,951 23,854 11,927 35,782 17,891 53,674 26,837 80,512 40,256 20,128 10,064 5,032 2,516 1,258 629 1,888

Active Feeder Network

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

Feeder #6,573,969 Feeder #2,443,427 Feeder #6,845,105 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174

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