λ
Harmonic Matrix

3,111,446

2 × 13 × 119671
Deficient Even Composite

3,111,446 has digital root 2. The neighboring primes are 3111431 and 3111457; its proper-divisor sum differs from the starting integer by -1,196,668.

Prime Factor Structure

Factorization String 2 × 13 × 119671
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 5,026,224
Proper Divisor Sum 1,914,778
Digit Sum / Digital Root 20 (Root: 2)
Adjacent Primes #3111431 ← → #3111457

Radix Representation

Decimal 3111446
Binary 1011110111101000010110 (22 bits)
Octal 0o13675026
Hexadecimal 0x2F7A16

Divisor Catalog (8)

1 2 13 26 119,671 239,342 1,555,723 3,111,446

Collatz Trajectory (195 steps to reach 1)

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

3,111,446 1,555,723 4,667,170 2,333,585 7,000,756 3,500,378 1,750,189 5,250,568 2,625,284 1,312,642 656,321 1,968,964 984,482 492,241 1,476,724 738,362 369,181 1,107,544 553,772 276,886 138,443 415,330 207,665 622,996 311,498 155,749 467,248 233,624 116,812 58,406 29,203 87,610 43,805 131,416 65,708 32,854 16,427 49,282 24,641 73,924 36,962 18,481 55,444 27,722 13,861 41,584 20,792 10,396 5,198 2,599 7,798 3,899 11,698 5,849 17,548 8,774 4,387 13,162 6,581 19,744

More profiles

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