2⁴ × 3² × 7 × 31²

Prime Factor Structure

Factorization String 2^4 × 3^2 × 7 × 31^2

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 90

Divisor Sum (σ) 3,201,432

Proper Divisor Sum 2,232,744

Digit Sum / Digital Root 45 (Root: 9)

Adjacent Primes #968663 ← → #968689

Radix Representation

Decimal	968688
Binary	11101100011111110000 (20 bits)
Octal	0o3543760
Hexadecimal	0xEC7F0

Divisor Catalog (60 of 90)

1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 31 36 42 48 56 62 63 72 84 93 112 124 126 144 168 186 217 248 252 279 336 372 434 496 504 558 651 744 868 961 1,008 1,116 1,302 1,488 1,736 1,922 1,953 2,232 2,604 2,883 3,472 3,844 3,906 4,464 5,208

Collatz Trajectory (170 steps to reach 1)

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

968,688 484,344 242,172 121,086 60,543 181,630 90,815 272,446 136,223 408,670 204,335 613,006 306,503 919,510 459,755 1,379,266 689,633 2,068,900 1,034,450 517,225 1,551,676 775,838 387,919 1,163,758 581,879 1,745,638 872,819 2,618,458 1,309,229 3,927,688 1,963,844 981,922 490,961 1,472,884 736,442 368,221 1,104,664 552,332 276,166 138,083 414,250 207,125 621,376 310,688 155,344 77,672 38,836 19,418 9,709 29,128 14,564 7,282 3,641 10,924 5,462 2,731 8,194 4,097 12,292 6,146

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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