212,165

5 × 42433

212,165 factors as 5 × 42433. Its 4 positive divisors give a proper-divisor sum of 42,439, so this integer is deficient. The Collatz stopping time is 80 steps.

Prime Factor Structure

Factorization String 5 × 42433

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 4

Divisor Sum (σ) 254,604

Proper Divisor Sum 42,439

Digit Sum / Digital Root 17 (Root: 8)

Adjacent Primes #212161 ← → #212167

Radix Representation

Decimal	212165
Binary	110011110011000101 (18 bits)
Octal	0o636305
Hexadecimal	0x33CC5

Divisor Catalog (4)

1 5 42,433 212,165

Collatz Trajectory (80 steps to reach 1)

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

212,165 636,496 318,248 159,124 79,562 39,781 119,344 59,672 29,836 14,918 7,459 22,378 11,189 33,568 16,784 8,392 4,196 2,098 1,049 3,148 1,574 787 2,362 1,181 3,544 1,772 886 443 1,330 665 1,996 998 499 1,498 749 2,248 1,124 562 281 844 422 211 634 317 952 476 238 119 358 179 538 269 808 404 202 101 304 152 76 38

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