2⁴ × 3³ × 7² × 83

Prime Factor Structure

Factorization String 2^4 × 3^3 × 7^2 × 83

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 120

Divisor Sum (σ) 5,937,120

Proper Divisor Sum 4,180,176

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #1756943 ← → #1756957

Radix Representation

Decimal	1756944
Binary	110101100111100010000 (21 bits)
Octal	0o6547420
Hexadecimal	0x1ACF10

Divisor Catalog (60 of 120)

1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 49 54 56 63 72 83 84 98 108 112 126 144 147 166 168 189 196 216 249 252 294 332 336 378 392 432 441 498 504 581 588 664 747 756 784 882 996 1,008 1,162 1,176 1,323

Collatz Trajectory (127 steps to reach 1)

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

1,756,944 878,472 439,236 219,618 109,809 329,428 164,714 82,357 247,072 123,536 61,768 30,884 15,442 7,721 23,164 11,582 5,791 17,374 8,687 26,062 13,031 39,094 19,547 58,642 29,321 87,964 43,982 21,991 65,974 32,987 98,962 49,481 148,444 74,222 37,111 111,334 55,667 167,002 83,501 250,504 125,252 62,626 31,313 93,940 46,970 23,485 70,456 35,228 17,614 8,807 26,422 13,211 39,634 19,817 59,452 29,726 14,863 44,590 22,295 66,886

Active Feeder Network

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

Feeder #7,737,779 Feeder #685,881 Feeder #2,871,188 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174

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