729,235

5 × 13² × 863

729,235 has the prime decomposition 5 × 13^2 × 863. Its 3 distinct prime factors produce 12 positive divisors.

Prime Factor Structure

Factorization String 5 × 13^2 × 863

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 948,672

Proper Divisor Sum 219,437

Digit Sum / Digital Root 28 (Root: 1)

Adjacent Primes #729217 ← → #729257

Radix Representation

Decimal	729235
Binary	10110010000010010011 (20 bits)
Octal	0o2620223
Hexadecimal	0xB2093

Divisor Catalog (12)

1 5 13 65 169 845 863 4,315 11,219 56,095 145,847 729,235

Collatz Trajectory (242 steps to reach 1)

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

729,235 2,187,706 1,093,853 3,281,560 1,640,780 820,390 410,195 1,230,586 615,293 1,845,880 922,940 461,470 230,735 692,206 346,103 1,038,310 519,155 1,557,466 778,733 2,336,200 1,168,100 584,050 292,025 876,076 438,038 219,019 657,058 328,529 985,588 492,794 246,397 739,192 369,596 184,798 92,399 277,198 138,599 415,798 207,899 623,698 311,849 935,548 467,774 233,887 701,662 350,831 1,052,494 526,247 1,578,742 789,371 2,368,114 1,184,057 3,552,172 1,776,086 888,043 2,664,130 1,332,065 3,996,196 1,998,098 999,049

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