λ
Sigma Notebook

5,938,163

72 × 11 × 23 × 479
Deficient Odd Composite

5,938,163 is odd and not a perfect square. Its factorization is 7^2 × 11 × 23 × 479 and its 24 divisors sum to 7,879,680.

Prime Factor Structure

Factorization String 7^2 × 11 × 23 × 479
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 7,879,680
Proper Divisor Sum 1,941,517
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #5938159 ← → #5938181

Radix Representation

Decimal 5938163
Binary 10110101001101111110011 (23 bits)
Octal 0o26515763
Hexadecimal 0x5A9BF3

Divisor Catalog (24)

1 7 11 23 49 77 161 253 479 539 1,127 1,771 3,353 5,269 11,017 12,397 23,471 36,883 77,119 121,187 258,181 539,833 848,309 5,938,163

Collatz Trajectory (139 steps to reach 1)

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

5,938,163 17,814,490 8,907,245 26,721,736 13,360,868 6,680,434 3,340,217 10,020,652 5,010,326 2,505,163 7,515,490 3,757,745 11,273,236 5,636,618 2,818,309 8,454,928 4,227,464 2,113,732 1,056,866 528,433 1,585,300 792,650 396,325 1,188,976 594,488 297,244 148,622 74,311 222,934 111,467 334,402 167,201 501,604 250,802 125,401 376,204 188,102 94,051 282,154 141,077 423,232 211,616 105,808 52,904 26,452 13,226 6,613 19,840 9,920 4,960 2,480 1,240 620 310 155 466 233 700 350 175

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