λ
Ratio Atlas
Atlas › Integer Profiles › Node 6,292,800
6,292,800
26 × 32 × 52 × 19 × 23
Abundant Even Composite

Prime Factor Structure

Factorization String 2^6 × 3^2 × 5^2 × 19 × 23
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 252
Divisor Sum (σ) 24,566,880
Proper Divisor Sum 18,274,080
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #6292787 ← → #6292807

Radix Representation

Decimal 6292800
Binary 11000000000010101000000 (23 bits)
Octal 0o30002500
Hexadecimal 0x600540

Divisor Catalog (60 of 252)

1 2 3 4 5 6 8 9 10 12 15 16 18 19 20 23 24 25 30 32 36 38 40 45 46 48 50 57 60 64 69 72 75 76 80 90 92 95 96 100 114 115 120 138 144 150 152 160 171 180 184 190 192 200 207 225 228 230 240 276

Collatz Trajectory (59 steps to reach 1)

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

6,292,800 3,146,400 1,573,200 786,600 393,300 196,650 98,325 294,976 147,488 73,744 36,872 18,436 9,218 4,609 13,828 6,914 3,457 10,372 5,186 2,593 7,780 3,890 1,945 5,836 2,918 1,459 4,378 2,189 6,568 3,284 1,642 821 2,464 1,232 616 308 154 77 232 116 58 29 88 44 22 11 34 17 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 #6,573,969 Feeder #6,845,105 Feeder #8,750,980 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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