3² × 5 × 7 × 311

Prime Factor Structure

Factorization String 3^2 × 5 × 7 × 311

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 194,688

Proper Divisor Sum 96,723

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #97961 ← → #97967

1 3 5 7 9 15 21 35 45 63 105 311 315 933 1,555 2,177 2,799 4,665 6,531 10,885 13,995 19,593 32,655 97,965

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

97,965 293,896 146,948 73,474 36,737 110,212 55,106 27,553 82,660 41,330 20,665 61,996 30,998 15,499 46,498 23,249 69,748 34,874 17,437 52,312 26,156 13,078 6,539 19,618 9,809 29,428 14,714 7,357 22,072 11,036 5,518 2,759 8,278 4,139 12,418 6,209 18,628 9,314 4,657 13,972 6,986 3,493 10,480 5,240 2,620 1,310 655 1,966 983 2,950 1,475 4,426 2,213 6,640 3,320 1,660 830 415 1,246 623

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