λ
Sigma Notebook

526,492

22 × 43 × 3061
Deficient Even Composite

526,492 is even and not a perfect square. Its factorization is 2^2 × 43 × 3061 and its 12 divisors sum to 943,096.

Prime Factor Structure

Factorization String 2^2 × 43 × 3061
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 943,096
Proper Divisor Sum 416,604
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #526483 ← → #526499

Radix Representation

Decimal 526492
Binary 10000000100010011100 (20 bits)
Octal 0o2004234
Hexadecimal 0x8089C

Divisor Catalog (12)

1 2 4 43 86 172 3,061 6,122 12,244 131,623 263,246 526,492

Collatz Trajectory (164 steps to reach 1)

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

526,492 263,246 131,623 394,870 197,435 592,306 296,153 888,460 444,230 222,115 666,346 333,173 999,520 499,760 249,880 124,940 62,470 31,235 93,706 46,853 140,560 70,280 35,140 17,570 8,785 26,356 13,178 6,589 19,768 9,884 4,942 2,471 7,414 3,707 11,122 5,561 16,684 8,342 4,171 12,514 6,257 18,772 9,386 4,693 14,080 7,040 3,520 1,760 880 440 220 110 55 166 83 250 125 376 188 94

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