2³ × 3 × 5 × 13² × 31

Prime Factor Structure

Factorization String 2^3 × 3 × 5 × 13^2 × 31

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 96

Divisor Sum (σ) 2,108,160

Proper Divisor Sum 1,479,480

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #628679 ← → #628681

Radix Representation

Decimal	628680
Binary	10011001011111001000 (20 bits)
Octal	0o2313710
Hexadecimal	0x997C8

Divisor Catalog (60 of 96)

1 2 3 4 5 6 8 10 12 13 15 20 24 26 30 31 39 40 52 60 62 65 78 93 104 120 124 130 155 156 169 186 195 248 260 310 312 338 372 390 403 465 507 520 620 676 744 780 806 845 930 1,014 1,209 1,240 1,352 1,560 1,612 1,690 1,860 2,015

Collatz Trajectory (128 steps to reach 1)

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

628,680 314,340 157,170 78,585 235,756 117,878 58,939 176,818 88,409 265,228 132,614 66,307 198,922 99,461 298,384 149,192 74,596 37,298 18,649 55,948 27,974 13,987 41,962 20,981 62,944 31,472 15,736 7,868 3,934 1,967 5,902 2,951 8,854 4,427 13,282 6,641 19,924 9,962 4,981 14,944 7,472 3,736 1,868 934 467 1,402 701 2,104 1,052 526 263 790 395 1,186 593 1,780 890 445 1,336 668

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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