2⁸ × 3² × 19²

Prime Factor Structure

Factorization String 2^8 × 3^2 × 19^2

Distinct Prime Factors 3

Square Status Yes (√831744 = 912)

Abundance Measure Abundant

Analytical Properties

Total Divisors 81

Divisor Sum (σ) 2,530,983

Proper Divisor Sum 1,699,239

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #831739 ← → #831751

1 2 3 4 6 8 9 12 16 18 19 24 32 36 38 48 57 64 72 76 96 114 128 144 152 171 192 228 256 288 304 342 361 384 456 576 608 684 722 768 912 1,083 1,152 1,216 1,368 1,444 1,824 2,166 2,304 2,432 2,736 2,888 3,249 3,648 4,332 4,864 5,472 5,776 6,498 7,296

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

831,744 415,872 207,936 103,968 51,984 25,992 12,996 6,498 3,249 9,748 4,874 2,437 7,312 3,656 1,828 914 457 1,372 686 343 1,030 515 1,546 773 2,320 1,160 580 290 145 436 218 109 328 164 82 41 124 62 31 94 47 142 71 214 107 322 161 484 242 121 364 182 91 274 137 412 206 103 310 155

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