205,437

3 × 31 × 47²

205,437 factors as 3 × 31 × 47^2. Its 12 positive divisors give a proper-divisor sum of 83,459, so this integer is deficient. The Collatz stopping time is 310 steps.

Prime Factor Structure

Factorization String 3 × 31 × 47^2

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 288,896

Proper Divisor Sum 83,459

Digit Sum / Digital Root 21 (Root: 3)

Adjacent Primes #205433 ← → #205441

Radix Representation

Decimal	205437
Binary	110010001001111101 (18 bits)
Octal	0o621175
Hexadecimal	0x3227D

Divisor Catalog (12)

1 3 31 47 93 141 1,457 2,209 4,371 6,627 68,479 205,437

Collatz Trajectory (310 steps to reach 1)

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

205,437 616,312 308,156 154,078 77,039 231,118 115,559 346,678 173,339 520,018 260,009 780,028 390,014 195,007 585,022 292,511 877,534 438,767 1,316,302 658,151 1,974,454 987,227 2,961,682 1,480,841 4,442,524 2,221,262 1,110,631 3,331,894 1,665,947 4,997,842 2,498,921 7,496,764 3,748,382 1,874,191 5,622,574 2,811,287 8,433,862 4,216,931 12,650,794 6,325,397 18,976,192 9,488,096 4,744,048 2,372,024 1,186,012 593,006 296,503 889,510 444,755 1,334,266 667,133 2,001,400 1,000,700 500,350 250,175 750,526 375,263 1,125,790 562,895 1,688,686

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