2⁴ × 7² × 23²

Prime Factor Structure

Factorization String 2^4 × 7^2 × 23^2

Distinct Prime Factors 3

Square Status Yes (√414736 = 644)

Abundance Measure Abundant

Analytical Properties

Total Divisors 45

Divisor Sum (σ) 977,151

Proper Divisor Sum 562,415

Digit Sum / Digital Root 25 (Root: 7)

Adjacent Primes #414731 ← → #414737

1 2 4 7 8 14 16 23 28 46 49 56 92 98 112 161 184 196 322 368 392 529 644 784 1,058 1,127 1,288 2,116 2,254 2,576 3,703 4,232 4,508 7,406 8,464 9,016 14,812 18,032 25,921 29,624 51,842 59,248 103,684 207,368 414,736

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

414,736 207,368 103,684 51,842 25,921 77,764 38,882 19,441 58,324 29,162 14,581 43,744 21,872 10,936 5,468 2,734 1,367 4,102 2,051 6,154 3,077 9,232 4,616 2,308 1,154 577 1,732 866 433 1,300 650 325 976 488 244 122 61 184 92 46 23 70 35 106 53 160 80 40 20 10 5 16 8 4 2 1

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