λ
Ratio Atlas
Atlas › Integer Profiles › Node 628,800
628,800
26 × 3 × 52 × 131
Abundant Even Composite

Prime Factor Structure

Factorization String 2^6 × 3 × 5^2 × 131
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 84
Divisor Sum (σ) 2,078,736
Proper Divisor Sum 1,449,936
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #628799 ← → #628801

Radix Representation

Decimal 628800
Binary 10011001100001000000 (20 bits)
Octal 0o2314100
Hexadecimal 0x99840

Divisor Catalog (60 of 84)

1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 64 75 80 96 100 120 131 150 160 192 200 240 262 300 320 393 400 480 524 600 655 786 800 960 1,048 1,200 1,310 1,572 1,600 1,965 2,096 2,400 2,620 3,144 3,275 3,930 4,192 4,800 5,240 6,288

Collatz Trajectory (53 steps to reach 1)

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

628,800 314,400 157,200 78,600 39,300 19,650 9,825 29,476 14,738 7,369 22,108 11,054 5,527 16,582 8,291 24,874 12,437 37,312 18,656 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 1,664 832 416 208 104 52 26 13 40 20 10 5 16 8 4 2 1

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 #6,573,969 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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