λ
Ratio Atlas
Atlas › Integer Profiles › Node 3,736,768
3,736,768
26 × 7 × 19 × 439
Abundant Even Composite

Prime Factor Structure

Factorization String 2^6 × 7 × 19 × 439
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 56
Divisor Sum (σ) 8,940,800
Proper Divisor Sum 5,204,032
Digit Sum / Digital Root 40 (Root: 4)
Adjacent Primes #3736763 ← → #3736769

Radix Representation

Decimal 3736768
Binary 1110010000010011000000 (22 bits)
Octal 0o16202300
Hexadecimal 0x3904C0

Divisor Catalog (56)

1 2 4 7 8 14 16 19 28 32 38 56 64 76 112 133 152 224 266 304 439 448 532 608 878 1,064 1,216 1,756 2,128 3,073 3,512 4,256 6,146 7,024 8,341 8,512 12,292 14,048 16,682 24,584 28,096 33,364 49,168 58,387 66,728 98,336 116,774 133,456 196,672 233,548 266,912 467,096 533,824 934,192 1,868,384 3,736,768

Collatz Trajectory (53 steps to reach 1)

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

3,736,768 1,868,384 934,192 467,096 233,548 116,774 58,387 175,162 87,581 262,744 131,372 65,686 32,843 98,530 49,265 147,796 73,898 36,949 110,848 55,424 27,712 13,856 6,928 3,464 1,732 866 433 1,300 650 325 976 488 244 122 61 184 92 46 23 70 35 106 53 160 80 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 #6,970,568 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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