2² × 3² × 17²

Prime Factor Structure

Factorization String 2^2 × 3^2 × 17^2

Distinct Prime Factors 3

Square Status Yes (√10404 = 102)

Abundance Measure Abundant

Analytical Properties

Total Divisors 27

Divisor Sum (σ) 27,937

Proper Divisor Sum 17,533

Digit Sum / Digital Root 9 (Root: 9)

Adjacent Primes #10399 ← → #10427

1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 204 289 306 578 612 867 1,156 1,734 2,601 3,468 5,202 10,404

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

10,404 5,202 2,601 7,804 3,902 1,951 5,854 2,927 8,782 4,391 13,174 6,587 19,762 9,881 29,644 14,822 7,411 22,234 11,117 33,352 16,676 8,338 4,169 12,508 6,254 3,127 9,382 4,691 14,074 7,037 21,112 10,556 5,278 2,639 7,918 3,959 11,878 5,939 17,818 8,909 26,728 13,364 6,682 3,341 10,024 5,012 2,506 1,253 3,760 1,880 940 470 235 706 353 1,060 530 265 796 398

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