3² × 5 × 7³ × 19

Prime Factor Structure

Factorization String 3^2 × 5 × 7^3 × 19

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 624,000

Proper Divisor Sum 330,735

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #293263 ← → #293269

1 3 5 7 9 15 19 21 35 45 49 57 63 95 105 133 147 171 245 285 315 343 399 441 665 735 855 931 1,029 1,197 1,715 1,995 2,205 2,793 3,087 4,655 5,145 5,985 6,517 8,379 13,965 15,435 19,551 32,585 41,895 58,653 97,755 293,265

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

293,265 879,796 439,898 219,949 659,848 329,924 164,962 82,481 247,444 123,722 61,861 185,584 92,792 46,396 23,198 11,599 34,798 17,399 52,198 26,099 78,298 39,149 117,448 58,724 29,362 14,681 44,044 22,022 11,011 33,034 16,517 49,552 24,776 12,388 6,194 3,097 9,292 4,646 2,323 6,970 3,485 10,456 5,228 2,614 1,307 3,922 1,961 5,884 2,942 1,471 4,414 2,207 6,622 3,311 9,934 4,967 14,902 7,451 22,354 11,177

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