2² × 7⁶

Prime Factor Structure

Factorization String 2^2 × 7^6

Distinct Prime Factors 2

Square Status Yes (√470596 = 686)

Abundance Measure Abundant

Analytical Properties

Total Divisors 21

Divisor Sum (σ) 960,799

Proper Divisor Sum 490,203

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #470593 ← → #470597

1 2 4 7 14 28 49 98 196 343 686 1,372 2,401 4,802 9,604 16,807 33,614 67,228 117,649 235,298 470,596

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

470,596 235,298 117,649 352,948 176,474 88,237 264,712 132,356 66,178 33,089 99,268 49,634 24,817 74,452 37,226 18,613 55,840 27,920 13,960 6,980 3,490 1,745 5,236 2,618 1,309 3,928 1,964 982 491 1,474 737 2,212 1,106 553 1,660 830 415 1,246 623 1,870 935 2,806 1,403 4,210 2,105 6,316 3,158 1,579 4,738 2,369 7,108 3,554 1,777 5,332 2,666 1,333 4,000 2,000 1,000 500

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