λ
Sigma Notebook

504,285

3 × 5 × 33619
Deficient Odd Composite

504,285 is odd and not a perfect square. Its factorization is 3 × 5 × 33619 and its 8 divisors sum to 806,880.

Prime Factor Structure

Factorization String 3 × 5 × 33619
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 806,880
Proper Divisor Sum 302,595
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #504269 ← → #504289

Radix Representation

Decimal 504285
Binary 1111011000111011101 (19 bits)
Octal 0o1730735
Hexadecimal 0x7B1DD

Divisor Catalog (8)

1 3 5 15 33,619 100,857 168,095 504,285

Collatz Trajectory (133 steps to reach 1)

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

504,285 1,512,856 756,428 378,214 189,107 567,322 283,661 850,984 425,492 212,746 106,373 319,120 159,560 79,780 39,890 19,945 59,836 29,918 14,959 44,878 22,439 67,318 33,659 100,978 50,489 151,468 75,734 37,867 113,602 56,801 170,404 85,202 42,601 127,804 63,902 31,951 95,854 47,927 143,782 71,891 215,674 107,837 323,512 161,756 80,878 40,439 121,318 60,659 181,978 90,989 272,968 136,484 68,242 34,121 102,364 51,182 25,591 76,774 38,387 115,162

More profiles

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