6,836,625

3² × 5³ × 59 × 103

6,836,625 has the prime decomposition 3^2 × 5^3 × 59 × 103. Its 4 distinct prime factors produce 48 positive divisors.

Prime Factor Structure

Factorization String 3^2 × 5^3 × 59 × 103

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 12,654,720

Proper Divisor Sum 5,818,095

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #6836623 ← → #6836633

Radix Representation

Decimal	6836625
Binary	11010000101000110010001 (23 bits)
Octal	0o32050621
Hexadecimal	0x685191

Divisor Catalog (48)

1 3 5 9 15 25 45 59 75 103 125 177 225 295 309 375 515 531 885 927 1,125 1,475 1,545 2,575 2,655 4,425 4,635 6,077 7,375 7,725 12,875 13,275 18,231 22,125 23,175 30,385 38,625 54,693 66,375 91,155 115,875 151,925 273,465 455,775 759,625 1,367,325 2,278,875 6,836,625

Collatz Trajectory (147 steps to reach 1)

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

6,836,625 20,509,876 10,254,938 5,127,469 15,382,408 7,691,204 3,845,602 1,922,801 5,768,404 2,884,202 1,442,101 4,326,304 2,163,152 1,081,576 540,788 270,394 135,197 405,592 202,796 101,398 50,699 152,098 76,049 228,148 114,074 57,037 171,112 85,556 42,778 21,389 64,168 32,084 16,042 8,021 24,064 12,032 6,016 3,008 1,504 752 376 188 94 47 142 71 214 107 322 161 484 242 121 364 182 91 274 137 412 206

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