λ
Ratio Atlas
Atlas › Integer Profiles › Node 766,440
766,440
23 × 32 × 5 × 2129
Abundant Even Composite

Prime Factor Structure

Factorization String 2^3 × 3^2 × 5 × 2129
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 2,492,100
Proper Divisor Sum 1,725,660
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #766439 ← → #766453

Radix Representation

Decimal 766440
Binary 10111011000111101000 (20 bits)
Octal 0o2730750
Hexadecimal 0xBB1E8

Divisor Catalog (48)

1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 2,129 4,258 6,387 8,516 10,645 12,774 17,032 19,161 21,290 25,548 31,935 38,322 42,580 51,096 63,870 76,644 85,160 95,805 127,740 153,288 191,610 255,480 383,220 766,440

Collatz Trajectory (56 steps to reach 1)

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

766,440 383,220 191,610 95,805 287,416 143,708 71,854 35,927 107,782 53,891 161,674 80,837 242,512 121,256 60,628 30,314 15,157 45,472 22,736 11,368 5,684 2,842 1,421 4,264 2,132 1,066 533 1,600 800 400 200 100 50 25 76 38 19 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 #2,443,427 Feeder #6,845,105 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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