3⁴ × 5 × 7 × 61

Prime Factor Structure

Factorization String 3^4 × 5 × 7 × 61

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 40

Divisor Sum (σ) 360,096

Proper Divisor Sum 187,161

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #172933 ← → #172969

1 3 5 7 9 15 21 27 35 45 61 63 81 105 135 183 189 305 315 405 427 549 567 915 945 1,281 1,647 2,135 2,745 2,835 3,843 4,941 6,405 8,235 11,529 19,215 24,705 34,587 57,645 172,935

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

172,935 518,806 259,403 778,210 389,105 1,167,316 583,658 291,829 875,488 437,744 218,872 109,436 54,718 27,359 82,078 41,039 123,118 61,559 184,678 92,339 277,018 138,509 415,528 207,764 103,882 51,941 155,824 77,912 38,956 19,478 9,739 29,218 14,609 43,828 21,914 10,957 32,872 16,436 8,218 4,109 12,328 6,164 3,082 1,541 4,624 2,312 1,156 578 289 868 434 217 652 326 163 490 245 736 368 184

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