λ
Harmonic Matrix

3,188,390

2 × 5 × 19 × 97 × 173
Deficient Even Composite

3,188,390 has digital root 5. The neighboring primes are 3188387 and 3188399; its proper-divisor sum differs from the starting integer by -238,060.

Prime Factor Structure

Factorization String 2 × 5 × 19 × 97 × 173
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 6,138,720
Proper Divisor Sum 2,950,330
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #3188387 ← → #3188399

Radix Representation

Decimal 3188390
Binary 1100001010011010100110 (22 bits)
Octal 0o14123246
Hexadecimal 0x30A6A6

Divisor Catalog (32)

1 2 5 10 19 38 95 97 173 190 194 346 485 865 970 1,730 1,843 3,287 3,686 6,574 9,215 16,435 16,781 18,430 32,870 33,562 83,905 167,810 318,839 637,678 1,594,195 3,188,390

Collatz Trajectory (146 steps to reach 1)

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

3,188,390 1,594,195 4,782,586 2,391,293 7,173,880 3,586,940 1,793,470 896,735 2,690,206 1,345,103 4,035,310 2,017,655 6,052,966 3,026,483 9,079,450 4,539,725 13,619,176 6,809,588 3,404,794 1,702,397 5,107,192 2,553,596 1,276,798 638,399 1,915,198 957,599 2,872,798 1,436,399 4,309,198 2,154,599 6,463,798 3,231,899 9,695,698 4,847,849 14,543,548 7,271,774 3,635,887 10,907,662 5,453,831 16,361,494 8,180,747 24,542,242 12,271,121 36,813,364 18,406,682 9,203,341 27,610,024 13,805,012 6,902,506 3,451,253 10,353,760 5,176,880 2,588,440 1,294,220 647,110 323,555 970,666 485,333 1,456,000 728,000

More profiles

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