2⁵ × 3 × 11 × 13 × 29

Prime Factor Structure

Factorization String 2^5 × 3 × 11 × 13 × 29

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 96

Divisor Sum (σ) 1,270,080

Proper Divisor Sum 871,968

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #398087 ← → #398113

Radix Representation

Decimal	398112
Binary	1100001001100100000 (19 bits)
Octal	0o1411440
Hexadecimal	0x61320

Divisor Catalog (60 of 96)

1 2 3 4 6 8 11 12 13 16 22 24 26 29 32 33 39 44 48 52 58 66 78 87 88 96 104 116 132 143 156 174 176 208 232 264 286 312 319 348 352 377 416 429 464 528 572 624 638 696 754 858 928 957 1,056 1,131 1,144 1,248 1,276 1,392

Collatz Trajectory (143 steps to reach 1)

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

398,112 199,056 99,528 49,764 24,882 12,441 37,324 18,662 9,331 27,994 13,997 41,992 20,996 10,498 5,249 15,748 7,874 3,937 11,812 5,906 2,953 8,860 4,430 2,215 6,646 3,323 9,970 4,985 14,956 7,478 3,739 11,218 5,609 16,828 8,414 4,207 12,622 6,311 18,934 9,467 28,402 14,201 42,604 21,302 10,651 31,954 15,977 47,932 23,966 11,983 35,950 17,975 53,926 26,963 80,890 40,445 121,336 60,668 30,334 15,167

Active Feeder Network

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

Feeder #6,411,996 Feeder #5,213,165 Feeder #8,297,652 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174

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