209,565

3² × 5 × 4657

209,565 factors as 3^2 × 5 × 4657. Its 12 positive divisors give a proper-divisor sum of 153,759, so this integer is deficient. The Collatz stopping time is 111 steps.

Prime Factor Structure

Factorization String 3^2 × 5 × 4657

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 363,324

Proper Divisor Sum 153,759

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #209563 ← → #209567

Radix Representation

Decimal	209565
Binary	110011001010011101 (18 bits)
Octal	0o631235
Hexadecimal	0x3329D

Divisor Catalog (12)

1 3 5 9 15 45 4,657 13,971 23,285 41,913 69,855 209,565

Collatz Trajectory (111 steps to reach 1)

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

209,565 628,696 314,348 157,174 78,587 235,762 117,881 353,644 176,822 88,411 265,234 132,617 397,852 198,926 99,463 298,390 149,195 447,586 223,793 671,380 335,690 167,845 503,536 251,768 125,884 62,942 31,471 94,414 47,207 141,622 70,811 212,434 106,217 318,652 159,326 79,663 238,990 119,495 358,486 179,243 537,730 268,865 806,596 403,298 201,649 604,948 302,474 151,237 453,712 226,856 113,428 56,714 28,357 85,072 42,536 21,268 10,634 5,317 15,952 7,976

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