2⁴ × 3 × 13 × 17 × 37

Prime Factor Structure

Factorization String 2^4 × 3 × 13 × 17 × 37

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 80

Divisor Sum (σ) 1,187,424

Proper Divisor Sum 794,928

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #392489 ← → #392503

Radix Representation

Decimal	392496
Binary	1011111110100110000 (19 bits)
Octal	0o1376460
Hexadecimal	0x5FD30

Divisor Catalog (60 of 80)

1 2 3 4 6 8 12 13 16 17 24 26 34 37 39 48 51 52 68 74 78 102 104 111 136 148 156 204 208 221 222 272 296 312 408 442 444 481 592 624 629 663 816 884 888 962 1,258 1,326 1,443 1,768 1,776 1,887 1,924 2,516 2,652 2,886 3,536 3,774 3,848 5,032

Collatz Trajectory (73 steps to reach 1)

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

392,496 196,248 98,124 49,062 24,531 73,594 36,797 110,392 55,196 27,598 13,799 41,398 20,699 62,098 31,049 93,148 46,574 23,287 69,862 34,931 104,794 52,397 157,192 78,596 39,298 19,649 58,948 29,474 14,737 44,212 22,106 11,053 33,160 16,580 8,290 4,145 12,436 6,218 3,109 9,328 4,664 2,332 1,166 583 1,750 875 2,626 1,313 3,940 1,970 985 2,956 1,478 739 2,218 1,109 3,328 1,664 832 416

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 #6,970,568 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174

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