λ
Sigma Notebook

1,327,638

2 × 3 × 13 × 17021
Abundant Even Composite

1,327,638 is even and not a perfect square. Its factorization is 2 × 3 × 13 × 17021 and its 16 divisors sum to 2,859,696.

Prime Factor Structure

Factorization String 2 × 3 × 13 × 17021
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 2,859,696
Proper Divisor Sum 1,532,058
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #1327631 ← → #1327673

Radix Representation

Decimal 1327638
Binary 101000100001000010110 (21 bits)
Octal 0o5041026
Hexadecimal 0x144216

Divisor Catalog (16)

1 2 3 6 13 26 39 78 17,021 34,042 51,063 102,126 221,273 442,546 663,819 1,327,638

Collatz Trajectory (67 steps to reach 1)

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

1,327,638 663,819 1,991,458 995,729 2,987,188 1,493,594 746,797 2,240,392 1,120,196 560,098 280,049 840,148 420,074 210,037 630,112 315,056 157,528 78,764 39,382 19,691 59,074 29,537 88,612 44,306 22,153 66,460 33,230 16,615 49,846 24,923 74,770 37,385 112,156 56,078 28,039 84,118 42,059 126,178 63,089 189,268 94,634 47,317 141,952 70,976 35,488 17,744 8,872 4,436 2,218 1,109 3,328 1,664 832 416 208 104 52 26 13 40

More profiles

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