823²

Prime Factor Structure

Factorization String 823^2

Distinct Prime Factors 1

Square Status Yes (√677329 = 823)

Abundance Measure Deficient

Analytical Properties

Total Divisors 3

Divisor Sum (σ) 678,153

Proper Divisor Sum 824

Digit Sum / Digital Root 34 (Root: 7)

Adjacent Primes #677323 ← → #677333

1 823 677,329

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

677,329 2,031,988 1,015,994 507,997 1,523,992 761,996 380,998 190,499 571,498 285,749 857,248 428,624 214,312 107,156 53,578 26,789 80,368 40,184 20,092 10,046 5,023 15,070 7,535 22,606 11,303 33,910 16,955 50,866 25,433 76,300 38,150 19,075 57,226 28,613 85,840 42,920 21,460 10,730 5,365 16,096 8,048 4,024 2,012 1,006 503 1,510 755 2,266 1,133 3,400 1,700 850 425 1,276 638 319 958 479 1,438 719

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