3 × 7² × 17 × 23

Prime Factor Structure

Factorization String 3 × 7^2 × 17 × 23

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 98,496

Proper Divisor Sum 41,019

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #57467 ← → #57487

1 3 7 17 21 23 49 51 69 119 147 161 357 391 483 833 1,127 1,173 2,499 2,737 3,381 8,211 19,159 57,477

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

57,477 172,432 86,216 43,108 21,554 10,777 32,332 16,166 8,083 24,250 12,125 36,376 18,188 9,094 4,547 13,642 6,821 20,464 10,232 5,116 2,558 1,279 3,838 1,919 5,758 2,879 8,638 4,319 12,958 6,479 19,438 9,719 29,158 14,579 43,738 21,869 65,608 32,804 16,402 8,201 24,604 12,302 6,151 18,454 9,227 27,682 13,841 41,524 20,762 10,381 31,144 15,572 7,786 3,893 11,680 5,840 2,920 1,460 730 365

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