558,501

3 × 17 × 47 × 233

558,501 factors as 3 × 17 × 47 × 233. Its 16 positive divisors give a proper-divisor sum of 250,203, so this integer is deficient. The Collatz stopping time is 115 steps.

Prime Factor Structure

Factorization String 3 × 17 × 47 × 233

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 808,704

Proper Divisor Sum 250,203

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #558499 ← → #558521

Radix Representation

Decimal	558501
Binary	10001000010110100101 (20 bits)
Octal	0o2102645
Hexadecimal	0x885A5

Divisor Catalog (16)

1 3 17 47 51 141 233 699 799 2,397 3,961 10,951 11,883 32,853 186,167 558,501

Collatz Trajectory (115 steps to reach 1)

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

558,501 1,675,504 837,752 418,876 209,438 104,719 314,158 157,079 471,238 235,619 706,858 353,429 1,060,288 530,144 265,072 132,536 66,268 33,134 16,567 49,702 24,851 74,554 37,277 111,832 55,916 27,958 13,979 41,938 20,969 62,908 31,454 15,727 47,182 23,591 70,774 35,387 106,162 53,081 159,244 79,622 39,811 119,434 59,717 179,152 89,576 44,788 22,394 11,197 33,592 16,796 8,398 4,199 12,598 6,299 18,898 9,449 28,348 14,174 7,087 21,262

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