2⁵ × 3⁴ × 11 × 13

Prime Factor Structure

Factorization String 2^5 × 3^4 × 11 × 13

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 120

Divisor Sum (σ) 1,280,664

Proper Divisor Sum 910,008

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #370631 ← → #370661

Radix Representation

Decimal	370656
Binary	1011010011111100000 (19 bits)
Octal	0o1323740
Hexadecimal	0x5A7E0

Divisor Catalog (60 of 120)

1 2 3 4 6 8 9 11 12 13 16 18 22 24 26 27 32 33 36 39 44 48 52 54 66 72 78 81 88 96 99 104 108 117 132 143 144 156 162 176 198 208 216 234 264 286 288 297 312 324 351 352 396 416 429 432 468 528 572 594

Collatz Trajectory (117 steps to reach 1)

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

370,656 185,328 92,664 46,332 23,166 11,583 34,750 17,375 52,126 26,063 78,190 39,095 117,286 58,643 175,930 87,965 263,896 131,948 65,974 32,987 98,962 49,481 148,444 74,222 37,111 111,334 55,667 167,002 83,501 250,504 125,252 62,626 31,313 93,940 46,970 23,485 70,456 35,228 17,614 8,807 26,422 13,211 39,634 19,817 59,452 29,726 14,863 44,590 22,295 66,886 33,443 100,330 50,165 150,496 75,248 37,624 18,812 9,406 4,703 14,110

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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