λ
Harmonic Matrix

1,327,166

2 × 663583
Deficient Even Composite

1,327,166 has digital root 8. The neighboring primes are 1327159 and 1327181; its proper-divisor sum differs from the starting integer by -663,580.

Prime Factor Structure

Factorization String 2 × 663583
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 1,990,752
Proper Divisor Sum 663,586
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #1327159 ← → #1327181

Radix Representation

Decimal 1327166
Binary 101000100000000111110 (21 bits)
Octal 0o5040076
Hexadecimal 0x14403E

Divisor Catalog (4)

1 2 663,583 1,327,166

Collatz Trajectory (173 steps to reach 1)

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

1,327,166 663,583 1,990,750 995,375 2,986,126 1,493,063 4,479,190 2,239,595 6,718,786 3,359,393 10,078,180 5,039,090 2,519,545 7,558,636 3,779,318 1,889,659 5,668,978 2,834,489 8,503,468 4,251,734 2,125,867 6,377,602 3,188,801 9,566,404 4,783,202 2,391,601 7,174,804 3,587,402 1,793,701 5,381,104 2,690,552 1,345,276 672,638 336,319 1,008,958 504,479 1,513,438 756,719 2,270,158 1,135,079 3,405,238 1,702,619 5,107,858 2,553,929 7,661,788 3,830,894 1,915,447 5,746,342 2,873,171 8,619,514 4,309,757 12,929,272 6,464,636 3,232,318 1,616,159 4,848,478 2,424,239 7,272,718 3,636,359 10,909,078

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