2⁴ × 3 × 7² × 17

Prime Factor Structure

Factorization String 2^4 × 3 × 7^2 × 17

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 60

Divisor Sum (σ) 127,224

Proper Divisor Sum 87,240

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #39983 ← → #39989

Radix Representation

Decimal	39984
Binary	1001110000110000 (16 bits)
Octal	0o116060
Hexadecimal	0x9C30

Divisor Catalog (60)

1 2 3 4 6 7 8 12 14 16 17 21 24 28 34 42 48 49 51 56 68 84 98 102 112 119 136 147 168 196 204 238 272 294 336 357 392 408 476 588 714 784 816 833 952 1,176 1,428 1,666 1,904 2,352 2,499 2,856 3,332 4,998 5,712 6,664 9,996 13,328 19,992 39,984

Collatz Trajectory (181 steps to reach 1)

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

39,984 19,992 9,996 4,998 2,499 7,498 3,749 11,248 5,624 2,812 1,406 703 2,110 1,055 3,166 1,583 4,750 2,375 7,126 3,563 10,690 5,345 16,036 8,018 4,009 12,028 6,014 3,007 9,022 4,511 13,534 6,767 20,302 10,151 30,454 15,227 45,682 22,841 68,524 34,262 17,131 51,394 25,697 77,092 38,546 19,273 57,820 28,910 14,455 43,366 21,683 65,050 32,525 97,576 48,788 24,394 12,197 36,592 18,296 9,148

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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