327,812

2² × 81953

327,812 factors as 2^2 × 81953. Its 6 positive divisors give a proper-divisor sum of 245,866, so this integer is deficient. The Collatz stopping time is 184 steps.

Prime Factor Structure

Factorization String 2^2 × 81953

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 6

Divisor Sum (σ) 573,678

Proper Divisor Sum 245,866

Digit Sum / Digital Root 23 (Root: 5)

Adjacent Primes #327809 ← → #327823

Radix Representation

Decimal	327812
Binary	1010000000010000100 (19 bits)
Octal	0o1200204
Hexadecimal	0x50084

Divisor Catalog (6)

1 2 4 81,953 163,906 327,812

Collatz Trajectory (184 steps to reach 1)

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

327,812 163,906 81,953 245,860 122,930 61,465 184,396 92,198 46,099 138,298 69,149 207,448 103,724 51,862 25,931 77,794 38,897 116,692 58,346 29,173 87,520 43,760 21,880 10,940 5,470 2,735 8,206 4,103 12,310 6,155 18,466 9,233 27,700 13,850 6,925 20,776 10,388 5,194 2,597 7,792 3,896 1,948 974 487 1,462 731 2,194 1,097 3,292 1,646 823 2,470 1,235 3,706 1,853 5,560 2,780 1,390 695 2,086

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