λ
Harmonic Matrix

3,876,673

23 × 41 × 4111
Deficient Odd Composite

3,876,673 has digital root 4. The neighboring primes are 3876661 and 3876679; its proper-divisor sum differs from the starting integer by -3,608,450.

Prime Factor Structure

Factorization String 23 × 41 × 4111
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 4,144,896
Proper Divisor Sum 268,223
Digit Sum / Digital Root 40 (Root: 4)
Adjacent Primes #3876661 ← → #3876679

Radix Representation

Decimal 3876673
Binary 1110110010011101000001 (22 bits)
Octal 0o16623501
Hexadecimal 0x3B2741

Divisor Catalog (8)

1 23 41 943 4,111 94,553 168,551 3,876,673

Collatz Trajectory (172 steps to reach 1)

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

3,876,673 11,630,020 5,815,010 2,907,505 8,722,516 4,361,258 2,180,629 6,541,888 3,270,944 1,635,472 817,736 408,868 204,434 102,217 306,652 153,326 76,663 229,990 114,995 344,986 172,493 517,480 258,740 129,370 64,685 194,056 97,028 48,514 24,257 72,772 36,386 18,193 54,580 27,290 13,645 40,936 20,468 10,234 5,117 15,352 7,676 3,838 1,919 5,758 2,879 8,638 4,319 12,958 6,479 19,438 9,719 29,158 14,579 43,738 21,869 65,608 32,804 16,402 8,201 24,604

More profiles

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