500,481

3² × 55609

500,481 factors as 3^2 × 55609. Its 6 positive divisors give a proper-divisor sum of 222,449, so this integer is deficient. The Collatz stopping time is 257 steps.

Prime Factor Structure

Factorization String 3^2 × 55609

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 6

Divisor Sum (σ) 722,930

Proper Divisor Sum 222,449

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #500473 ← → #500483

Radix Representation

Decimal	500481
Binary	1111010001100000001 (19 bits)
Octal	0o1721401
Hexadecimal	0x7A301

Divisor Catalog (6)

1 3 9 55,609 166,827 500,481

Collatz Trajectory (257 steps to reach 1)

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

500,481 1,501,444 750,722 375,361 1,126,084 563,042 281,521 844,564 422,282 211,141 633,424 316,712 158,356 79,178 39,589 118,768 59,384 29,692 14,846 7,423 22,270 11,135 33,406 16,703 50,110 25,055 75,166 37,583 112,750 56,375 169,126 84,563 253,690 126,845 380,536 190,268 95,134 47,567 142,702 71,351 214,054 107,027 321,082 160,541 481,624 240,812 120,406 60,203 180,610 90,305 270,916 135,458 67,729 203,188 101,594 50,797 152,392 76,196 38,098 19,049

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