13² × 43²

Prime Factor Structure

Factorization String 13^2 × 43^2

Distinct Prime Factors 2

Square Status Yes (√312481 = 559)

Abundance Measure Deficient

Analytical Properties

Total Divisors 9

Divisor Sum (σ) 346,419

Proper Divisor Sum 33,938

Digit Sum / Digital Root 19 (Root: 1)

Adjacent Primes #312469 ← → #312509

1 13 43 169 559 1,849 7,267 24,037 312,481

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

312,481 937,444 468,722 234,361 703,084 351,542 175,771 527,314 263,657 790,972 395,486 197,743 593,230 296,615 889,846 444,923 1,334,770 667,385 2,002,156 1,001,078 500,539 1,501,618 750,809 2,252,428 1,126,214 563,107 1,689,322 844,661 2,533,984 1,266,992 633,496 316,748 158,374 79,187 237,562 118,781 356,344 178,172 89,086 44,543 133,630 66,815 200,446 100,223 300,670 150,335 451,006 225,503 676,510 338,255 1,014,766 507,383 1,522,150 761,075 2,283,226 1,141,613 3,424,840 1,712,420 856,210 428,105

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