2⁵ × 3² × 7² × 31

Prime Factor Structure

Factorization String 2^5 × 3^2 × 7^2 × 31

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 108

Divisor Sum (σ) 1,493,856

Proper Divisor Sum 1,056,384

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #437471 ← → #437473

Radix Representation

Decimal	437472
Binary	1101010110011100000 (19 bits)
Octal	0o1526340
Hexadecimal	0x6ACE0

Divisor Catalog (60 of 108)

1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 31 32 36 42 48 49 56 62 63 72 84 93 96 98 112 124 126 144 147 168 186 196 217 224 248 252 279 288 294 336 372 392 434 441 496 504 558 588 651 672 744 784 868 882 992

Collatz Trajectory (125 steps to reach 1)

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

437,472 218,736 109,368 54,684 27,342 13,671 41,014 20,507 61,522 30,761 92,284 46,142 23,071 69,214 34,607 103,822 51,911 155,734 77,867 233,602 116,801 350,404 175,202 87,601 262,804 131,402 65,701 197,104 98,552 49,276 24,638 12,319 36,958 18,479 55,438 27,719 83,158 41,579 124,738 62,369 187,108 93,554 46,777 140,332 70,166 35,083 105,250 52,625 157,876 78,938 39,469 118,408 59,204 29,602 14,801 44,404 22,202 11,101 33,304 16,652

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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