λ
Harmonic Matrix

3,888,331

192 × 10771
Deficient Odd Composite

3,888,331 has digital root 7. The neighboring primes are 3888281 and 3888337; its proper-divisor sum differs from the starting integer by -3,672,530.

Prime Factor Structure

Factorization String 19^2 × 10771
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 6
Divisor Sum (σ) 4,104,132
Proper Divisor Sum 215,801
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #3888281 ← → #3888337

Radix Representation

Decimal 3888331
Binary 1110110101010011001011 (22 bits)
Octal 0o16652313
Hexadecimal 0x3B54CB

Divisor Catalog (6)

1 19 361 10,771 204,649 3,888,331

Collatz Trajectory (185 steps to reach 1)

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

3,888,331 11,664,994 5,832,497 17,497,492 8,748,746 4,374,373 13,123,120 6,561,560 3,280,780 1,640,390 820,195 2,460,586 1,230,293 3,690,880 1,845,440 922,720 461,360 230,680 115,340 57,670 28,835 86,506 43,253 129,760 64,880 32,440 16,220 8,110 4,055 12,166 6,083 18,250 9,125 27,376 13,688 6,844 3,422 1,711 5,134 2,567 7,702 3,851 11,554 5,777 17,332 8,666 4,333 13,000 6,500 3,250 1,625 4,876 2,438 1,219 3,658 1,829 5,488 2,744 1,372 686

More profiles

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