λ
Harmonic Matrix

2,213,742

2 × 3 × 368957
Abundant Even Composite

2,213,742 has digital root 3. The neighboring primes are 2213711 and 2213759; its proper-divisor sum differs from the starting integer by 12.

Prime Factor Structure

Factorization String 2 × 3 × 368957
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 4,427,496
Proper Divisor Sum 2,213,754
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #2213711 ← → #2213759

Radix Representation

Decimal 2213742
Binary 1000011100011101101110 (22 bits)
Octal 0o10343556
Hexadecimal 0x21C76E

Divisor Catalog (8)

1 2 3 6 368,957 737,914 1,106,871 2,213,742

Collatz Trajectory (135 steps to reach 1)

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

2,213,742 1,106,871 3,320,614 1,660,307 4,980,922 2,490,461 7,471,384 3,735,692 1,867,846 933,923 2,801,770 1,400,885 4,202,656 2,101,328 1,050,664 525,332 262,666 131,333 394,000 197,000 98,500 49,250 24,625 73,876 36,938 18,469 55,408 27,704 13,852 6,926 3,463 10,390 5,195 15,586 7,793 23,380 11,690 5,845 17,536 8,768 4,384 2,192 1,096 548 274 137 412 206 103 310 155 466 233 700 350 175 526 263 790 395

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