λ
Integer Codex

508,163

547 × 929
Deficient Odd Composite

For 508,163, the 4 positive divisors have a total of 509,640. Removing 508,163 leaves 1,477, which gives the deficient classification.

Prime Factor Structure

Factorization String 547 × 929
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 509,640
Proper Divisor Sum 1,477
Digit Sum / Digital Root 23 (Root: 5)
Adjacent Primes #508159 ← → #508171

Radix Representation

Decimal 508163
Binary 1111100000100000011 (19 bits)
Octal 0o1740403
Hexadecimal 0x7C103

Divisor Catalog (4)

1 547 929 508,163

Collatz Trajectory (107 steps to reach 1)

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

508,163 1,524,490 762,245 2,286,736 1,143,368 571,684 285,842 142,921 428,764 214,382 107,191 321,574 160,787 482,362 241,181 723,544 361,772 180,886 90,443 271,330 135,665 406,996 203,498 101,749 305,248 152,624 76,312 38,156 19,078 9,539 28,618 14,309 42,928 21,464 10,732 5,366 2,683 8,050 4,025 12,076 6,038 3,019 9,058 4,529 13,588 6,794 3,397 10,192 5,096 2,548 1,274 637 1,912 956 478 239 718 359 1,078 539

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