λ
Harmonic Matrix

1,597,866

2 × 3 × 251 × 1061
Abundant Even Composite

1,597,866 has digital root 6. The neighboring primes are 1597861 and 1597873; its proper-divisor sum differs from the starting integer by 15,756.

Prime Factor Structure

Factorization String 2 × 3 × 251 × 1061
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 3,211,488
Proper Divisor Sum 1,613,622
Digit Sum / Digital Root 42 (Root: 6)
Adjacent Primes #1597861 ← → #1597873

Radix Representation

Decimal 1597866
Binary 110000110000110101010 (21 bits)
Octal 0o6060652
Hexadecimal 0x1861AA

Divisor Catalog (16)

1 2 3 6 251 502 753 1,061 1,506 2,122 3,183 6,366 266,311 532,622 798,933 1,597,866

Collatz Trajectory (57 steps to reach 1)

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

1,597,866 798,933 2,396,800 1,198,400 599,200 299,600 149,800 74,900 37,450 18,725 56,176 28,088 14,044 7,022 3,511 10,534 5,267 15,802 7,901 23,704 11,852 5,926 2,963 8,890 4,445 13,336 6,668 3,334 1,667 5,002 2,501 7,504 3,752 1,876 938 469 1,408 704 352 176 88 44 22 11 34 17 52 26 13 40 20 10 5 16 8 4 2 1

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