3⁶ × 7²

Prime Factor Structure

Factorization String 3^6 × 7^2

Distinct Prime Factors 2

Square Status Yes (√35721 = 189)

Abundance Measure Deficient

Analytical Properties

Total Divisors 21

Divisor Sum (σ) 62,301

Proper Divisor Sum 26,580

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #35677 ← → #35729

1 3 7 9 21 27 49 63 81 147 189 243 441 567 729 1,323 1,701 3,969 5,103 11,907 35,721

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

35,721 107,164 53,582 26,791 80,374 40,187 120,562 60,281 180,844 90,422 45,211 135,634 67,817 203,452 101,726 50,863 152,590 76,295 228,886 114,443 343,330 171,665 514,996 257,498 128,749 386,248 193,124 96,562 48,281 144,844 72,422 36,211 108,634 54,317 162,952 81,476 40,738 20,369 61,108 30,554 15,277 45,832 22,916 11,458 5,729 17,188 8,594 4,297 12,892 6,446 3,223 9,670 4,835 14,506 7,253 21,760 10,880 5,440 2,720 1,360

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