λ
Harmonic Matrix

3,043,172

22 × 11 × 69163
Deficient Even Composite

3,043,172 has digital root 2. The neighboring primes are 3043169 and 3043193; its proper-divisor sum differs from the starting integer by -276,568.

Prime Factor Structure

Factorization String 2^2 × 11 × 69163
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 5,809,776
Proper Divisor Sum 2,766,604
Digit Sum / Digital Root 20 (Root: 2)
Adjacent Primes #3043169 ← → #3043193

Radix Representation

Decimal 3043172
Binary 1011100110111101100100 (22 bits)
Octal 0o13467544
Hexadecimal 0x2E6F64

Divisor Catalog (12)

1 2 4 11 22 44 69,163 138,326 276,652 760,793 1,521,586 3,043,172

Collatz Trajectory (58 steps to reach 1)

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

3,043,172 1,521,586 760,793 2,282,380 1,141,190 570,595 1,711,786 855,893 2,567,680 1,283,840 641,920 320,960 160,480 80,240 40,120 20,060 10,030 5,015 15,046 7,523 22,570 11,285 33,856 16,928 8,464 4,232 2,116 1,058 529 1,588 794 397 1,192 596 298 149 448 224 112 56 28 14 7 22 11 34 17 52 26 13 40 20 10 5 16 8 4 2 1

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