3 × 7² × 17 × 29

Prime Factor Structure

Factorization String 3 × 7^2 × 17 × 29

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 123,120

Proper Divisor Sum 50,649

Digit Sum / Digital Root 21 (Root: 3)

Adjacent Primes #72469 ← → #72481

1 3 7 17 21 29 49 51 87 119 147 203 357 493 609 833 1,421 1,479 2,499 3,451 4,263 10,353 24,157 72,471

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

72,471 217,414 108,707 326,122 163,061 489,184 244,592 122,296 61,148 30,574 15,287 45,862 22,931 68,794 34,397 103,192 51,596 25,798 12,899 38,698 19,349 58,048 29,024 14,512 7,256 3,628 1,814 907 2,722 1,361 4,084 2,042 1,021 3,064 1,532 766 383 1,150 575 1,726 863 2,590 1,295 3,886 1,943 5,830 2,915 8,746 4,373 13,120 6,560 3,280 1,640 820 410 205 616 308 154 77

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