327,867

3 × 293 × 373

For 327,867, the 8 positive divisors have a total of 439,824. Removing 327,867 leaves 111,957, which gives the deficient classification.

Prime Factor Structure

Factorization String 3 × 293 × 373

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 439,824

Proper Divisor Sum 111,957

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #327853 ← → #327869

Radix Representation

Decimal	327867
Binary	1010000000010111011 (19 bits)
Octal	0o1200273
Hexadecimal	0x500BB

Divisor Catalog (8)

1 3 293 373 879 1,119 109,289 327,867

Collatz Trajectory (184 steps to reach 1)

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

327,867 983,602 491,801 1,475,404 737,702 368,851 1,106,554 553,277 1,659,832 829,916 414,958 207,479 622,438 311,219 933,658 466,829 1,400,488 700,244 350,122 175,061 525,184 262,592 131,296 65,648 32,824 16,412 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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