1,098,331

13² × 67 × 97

Prime Factor Structure

Factorization String 13^2 × 67 × 97

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 1,219,512

Proper Divisor Sum 121,181

Digit Sum / Digital Root 25 (Root: 7)

Adjacent Primes #1098313 ← → #1098341

Radix Representation

Decimal	1098331
Binary	100001100001001011011 (21 bits)
Octal	0o4141133
Hexadecimal	0x10C25B

Divisor Catalog (12)

1 13 67 97 169 871 1,261 6,499 11,323 16,393 84,487 1,098,331

Collatz Trajectory (147 steps to reach 1)

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

1,098,331 3,294,994 1,647,497 4,942,492 2,471,246 1,235,623 3,706,870 1,853,435 5,560,306 2,780,153 8,340,460 4,170,230 2,085,115 6,255,346 3,127,673 9,383,020 4,691,510 2,345,755 7,037,266 3,518,633 10,555,900 5,277,950 2,638,975 7,916,926 3,958,463 11,875,390 5,937,695 17,813,086 8,906,543 26,719,630 13,359,815 40,079,446 20,039,723 60,119,170 30,059,585 90,178,756 45,089,378 22,544,689 67,634,068 33,817,034 16,908,517 50,725,552 25,362,776 12,681,388 6,340,694 3,170,347 9,511,042 4,755,521 14,266,564 7,133,282 3,566,641 10,699,924 5,349,962 2,674,981 8,024,944 4,012,472 2,006,236 1,003,118 501,559 1,504,678

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