509,955

3 × 5 × 33997

509,955 factors as 3 × 5 × 33997. Its 8 positive divisors give a proper-divisor sum of 305,997, so this integer is deficient. The Collatz stopping time is 102 steps.

Prime Factor Structure

Factorization String 3 × 5 × 33997

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 815,952

Proper Divisor Sum 305,997

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #509947 ← → #509959

Radix Representation

Decimal	509955
Binary	1111100100000000011 (19 bits)
Octal	0o1744003
Hexadecimal	0x7C803

Divisor Catalog (8)

1 3 5 15 33,997 101,991 169,985 509,955

Collatz Trajectory (102 steps to reach 1)

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

509,955 1,529,866 764,933 2,294,800 1,147,400 573,700 286,850 143,425 430,276 215,138 107,569 322,708 161,354 80,677 242,032 121,016 60,508 30,254 15,127 45,382 22,691 68,074 34,037 102,112 51,056 25,528 12,764 6,382 3,191 9,574 4,787 14,362 7,181 21,544 10,772 5,386 2,693 8,080 4,040 2,020 1,010 505 1,516 758 379 1,138 569 1,708 854 427 1,282 641 1,924 962 481 1,444 722 361 1,084 542

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