λ
Harmonic Matrix

3,782,243

3782243
Deficient Odd Prime

3,782,243 has digital root 2. The neighboring primes are 3782213 and 3782249; its proper-divisor sum differs from the starting integer by -3,782,242.

Prime Factor Structure

Factorization String 3782243
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 3,782,244
Proper Divisor Sum 1
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #3782213 ← → #3782249

Radix Representation

Decimal 3782243
Binary 1110011011011001100011 (22 bits)
Octal 0o16333143
Hexadecimal 0x39B663

Divisor Catalog (2)

Collatz Trajectory (128 steps to reach 1)

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

3,782,243 11,346,730 5,673,365 17,020,096 8,510,048 4,255,024 2,127,512 1,063,756 531,878 265,939 797,818 398,909 1,196,728 598,364 299,182 149,591 448,774 224,387 673,162 336,581 1,009,744 504,872 252,436 126,218 63,109 189,328 94,664 47,332 23,666 11,833 35,500 17,750 8,875 26,626 13,313 39,940 19,970 9,985 29,956 14,978 7,489 22,468 11,234 5,617 16,852 8,426 4,213 12,640 6,320 3,160 1,580 790 395 1,186 593 1,780 890 445 1,336 668

More profiles

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