165,262

2 × 19 × 4349

165,262 factors as 2 × 19 × 4349. Its 8 positive divisors give a proper-divisor sum of 95,738, so this integer is deficient. The Collatz stopping time is 183 steps.

Prime Factor Structure

Factorization String 2 × 19 × 4349

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 261,000

Proper Divisor Sum 95,738

Digit Sum / Digital Root 22 (Root: 4)

Adjacent Primes #165247 ← → #165287

Radix Representation

Decimal	165262
Binary	101000010110001110 (18 bits)
Octal	0o502616
Hexadecimal	0x2858E

Divisor Catalog (8)

1 2 19 38 4,349 8,698 82,631 165,262

Collatz Trajectory (183 steps to reach 1)

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

165,262 82,631 247,894 123,947 371,842 185,921 557,764 278,882 139,441 418,324 209,162 104,581 313,744 156,872 78,436 39,218 19,609 58,828 29,414 14,707 44,122 22,061 66,184 33,092 16,546 8,273 24,820 12,410 6,205 18,616 9,308 4,654 2,327 6,982 3,491 10,474 5,237 15,712 7,856 3,928 1,964 982 491 1,474 737 2,212 1,106 553 1,660 830 415 1,246 623 1,870 935 2,806 1,403 4,210 2,105 6,316

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