λ
Harmonic Matrix

3,887,026

2 × 11 × 13 × 13591
Deficient Even Composite

3,887,026 has digital root 7. The neighboring primes are 3887021 and 3887047; its proper-divisor sum differs from the starting integer by -923,684.

Prime Factor Structure

Factorization String 2 × 11 × 13 × 13591
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 6,850,368
Proper Divisor Sum 2,963,342
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #3887021 ← → #3887047

Radix Representation

Decimal 3887026
Binary 1110110100111110110010 (22 bits)
Octal 0o16647662
Hexadecimal 0x3B4FB2

Divisor Catalog (16)

1 2 11 13 22 26 143 286 13,591 27,182 149,501 176,683 299,002 353,366 1,943,513 3,887,026

Collatz Trajectory (185 steps to reach 1)

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

3,887,026 1,943,513 5,830,540 2,915,270 1,457,635 4,372,906 2,186,453 6,559,360 3,279,680 1,639,840 819,920 409,960 204,980 102,490 51,245 153,736 76,868 38,434 19,217 57,652 28,826 14,413 43,240 21,620 10,810 5,405 16,216 8,108 4,054 2,027 6,082 3,041 9,124 4,562 2,281 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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