2³ × 3³ × 7² × 83

Prime Factor Structure

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

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 96

Divisor Sum (σ) 2,872,800

Proper Divisor Sum 1,994,328

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #878467 ← → #878489

Radix Representation

Decimal	878472
Binary	11010110011110001000 (20 bits)
Octal	0o3263610
Hexadecimal	0xD6788

Divisor Catalog (60 of 96)

1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 49 54 56 63 72 83 84 98 108 126 147 166 168 189 196 216 249 252 294 332 378 392 441 498 504 581 588 664 747 756 882 996 1,162 1,176 1,323 1,494 1,512 1,743 1,764 1,992 2,241 2,324 2,646

Collatz Trajectory (126 steps to reach 1)

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

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 33,443

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 #1,448,561 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174

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