λ
Ratio Atlas
Atlas › Integer Profiles › Node 3,780,432
3,780,432
24 × 34 × 2917
Abundant Even Composite

Prime Factor Structure

Factorization String 2^4 × 3^4 × 2917
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 50
Divisor Sum (σ) 10,945,418
Proper Divisor Sum 7,164,986
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #3780407 ← → #3780433

Radix Representation

Decimal 3780432
Binary 1110011010111101010000 (22 bits)
Octal 0o16327520
Hexadecimal 0x39AF50

Divisor Catalog (50)

1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 324 432 648 1,296 2,917 5,834 8,751 11,668 17,502 23,336 26,253 35,004 46,672 52,506 70,008 78,759 105,012 140,016 157,518 210,024 236,277 315,036 420,048 472,554 630,072 945,108 1,260,144 1,890,216 3,780,432

Collatz Trajectory (203 steps to reach 1)

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

3,780,432 1,890,216 945,108 472,554 236,277 708,832 354,416 177,208 88,604 44,302 22,151 66,454 33,227 99,682 49,841 149,524 74,762 37,381 112,144 56,072 28,036 14,018 7,009 21,028 10,514 5,257 15,772 7,886 3,943 11,830 5,915 17,746 8,873 26,620 13,310 6,655 19,966 9,983 29,950 14,975 44,926 22,463 67,390 33,695 101,086 50,543 151,630 75,815 227,446 113,723 341,170 170,585 511,756 255,878 127,939 383,818 191,909 575,728 287,864 143,932

Active Feeder Network

Other feeder batches with open delivery windows. Each feeder keeps its own target batch.

Feeder #7,737,779 Feeder #685,881 Feeder #2,871,188 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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