λ
Prime Ledger

6,555,875

53 × 179 × 293
Deficient Odd Composite

6,555,875 has the prime decomposition 5^3 × 179 × 293. Its 3 distinct prime factors produce 16 positive divisors.

Prime Factor Structure

Factorization String 5^3 × 179 × 293
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 8,255,520
Proper Divisor Sum 1,699,645
Digit Sum / Digital Root 41 (Root: 5)
Adjacent Primes #6555839 ← → #6555907

Radix Representation

Decimal 6555875
Binary 11001000000100011100011 (23 bits)
Octal 0o31004343
Hexadecimal 0x6408E3

Divisor Catalog (16)

1 5 25 125 179 293 895 1,465 4,475 7,325 22,375 36,625 52,447 262,235 1,311,175 6,555,875

Collatz Trajectory (134 steps to reach 1)

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

6,555,875 19,667,626 9,833,813 29,501,440 14,750,720 7,375,360 3,687,680 1,843,840 921,920 460,960 230,480 115,240 57,620 28,810 14,405 43,216 21,608 10,804 5,402 2,701 8,104 4,052 2,026 1,013 3,040 1,520 760 380 190 95 286 143 430 215 646 323 970 485 1,456 728 364 182 91 274 137 412 206 103 310 155 466 233 700 350 175 526 263 790 395 1,186

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