2² × 3² × 7 × 17²

Prime Factor Structure

Factorization String 2^2 × 3^2 × 7 × 17^2

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 54

Divisor Sum (σ) 223,496

Proper Divisor Sum 150,668

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #72823 ← → #72859

1 2 3 4 6 7 9 12 14 17 18 21 28 34 36 42 51 63 68 84 102 119 126 153 204 238 252 289 306 357 476 578 612 714 867 1,071 1,156 1,428 1,734 2,023 2,142 2,601 3,468 4,046 4,284 5,202 6,069 8,092 10,404 12,138 18,207 24,276 36,414 72,828

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

72,828 36,414 18,207 54,622 27,311 81,934 40,967 122,902 61,451 184,354 92,177 276,532 138,266 69,133 207,400 103,700 51,850 25,925 77,776 38,888 19,444 9,722 4,861 14,584 7,292 3,646 1,823 5,470 2,735 8,206 4,103 12,310 6,155 18,466 9,233 27,700 13,850 6,925 20,776 10,388 5,194 2,597 7,792 3,896 1,948 974 487 1,462 731 2,194 1,097 3,292 1,646 823 2,470 1,235 3,706 1,853 5,560 2,780

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