2² × 3³ × 7 × 13 × 457

Prime Factor Structure

Factorization String 2^2 × 3^3 × 7 × 13 × 457

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 96

Divisor Sum (σ) 14,362,880

Proper Divisor Sum 9,871,484

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #4491359 ← → #4491401

Radix Representation

Decimal	4491396
Binary	10001001000100010000100 (23 bits)
Octal	0o21104204
Hexadecimal	0x448884

Divisor Catalog (60 of 96)

1 2 3 4 6 7 9 12 13 14 18 21 26 27 28 36 39 42 52 54 63 78 84 91 108 117 126 156 182 189 234 252 273 351 364 378 457 468 546 702 756 819 914 1,092 1,371 1,404 1,638 1,828 2,457 2,742 3,199 3,276 4,113 4,914 5,484 5,941 6,398 8,226 9,597 9,828

Collatz Trajectory (74 steps to reach 1)

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

4,491,396 2,245,698 1,122,849 3,368,548 1,684,274 842,137 2,526,412 1,263,206 631,603 1,894,810 947,405 2,842,216 1,421,108 710,554 355,277 1,065,832 532,916 266,458 133,229 399,688 199,844 99,922 49,961 149,884 74,942 37,471 112,414 56,207 168,622 84,311 252,934 126,467 379,402 189,701 569,104 284,552 142,276 71,138 35,569 106,708 53,354 26,677 80,032 40,016 20,008 10,004 5,002 2,501 7,504 3,752 1,876 938 469 1,408 704 352 176 88 44 22

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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