431,395

5 × 19² × 239

431,395 factors as 5 × 19^2 × 239. Its 12 positive divisors give a proper-divisor sum of 117,245, so this integer is deficient. The Collatz stopping time is 218 steps.

Prime Factor Structure

Factorization String 5 × 19^2 × 239

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 548,640

Proper Divisor Sum 117,245

Digit Sum / Digital Root 25 (Root: 7)

Adjacent Primes #431381 ← → #431399

Radix Representation

Decimal	431395
Binary	1101001010100100011 (19 bits)
Octal	0o1512443
Hexadecimal	0x69523

Divisor Catalog (12)

1 5 19 95 239 361 1,195 1,805 4,541 22,705 86,279 431,395

Collatz Trajectory (218 steps to reach 1)

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

431,395 1,294,186 647,093 1,941,280 970,640 485,320 242,660 121,330 60,665 181,996 90,998 45,499 136,498 68,249 204,748 102,374 51,187 153,562 76,781 230,344 115,172 57,586 28,793 86,380 43,190 21,595 64,786 32,393 97,180 48,590 24,295 72,886 36,443 109,330 54,665 163,996 81,998 40,999 122,998 61,499 184,498 92,249 276,748 138,374 69,187 207,562 103,781 311,344 155,672 77,836 38,918 19,459 58,378 29,189 87,568 43,784 21,892 10,946 5,473 16,420

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