5² × 41²

Prime Factor Structure

Factorization String 5^2 × 41^2

Distinct Prime Factors 2

Square Status Yes (√42025 = 205)

Abundance Measure Deficient

Analytical Properties

Total Divisors 9

Divisor Sum (σ) 53,413

Proper Divisor Sum 11,388

Digit Sum / Digital Root 13 (Root: 4)

Adjacent Primes #42023 ← → #42043

1 5 25 41 205 1,025 1,681 8,405 42,025

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

42,025 126,076 63,038 31,519 94,558 47,279 141,838 70,919 212,758 106,379 319,138 159,569 478,708 239,354 119,677 359,032 179,516 89,758 44,879 134,638 67,319 201,958 100,979 302,938 151,469 454,408 227,204 113,602 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 57,581

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