504,284

2² × 11 × 73 × 157

504,284 factors as 2^2 × 11 × 73 × 157. Its 24 positive divisors give a proper-divisor sum of 477,844, so this integer is deficient. The Collatz stopping time is 133 steps.

Prime Factor Structure

Factorization String 2^2 × 11 × 73 × 157

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 982,128

Proper Divisor Sum 477,844

Digit Sum / Digital Root 23 (Root: 5)

Adjacent Primes #504269 ← → #504289

Radix Representation

Decimal	504284
Binary	1111011000111011100 (19 bits)
Octal	0o1730734
Hexadecimal	0x7B1DC

Divisor Catalog (24)

Collatz Trajectory (133 steps to reach 1)

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

504,284 252,142 126,071 378,214 189,107 567,322 283,661 850,984 425,492 212,746 106,373 319,120 159,560 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

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