6,201,600

2⁸ × 3 × 5² × 17 × 19

Prime Factor Structure

Factorization String 2^8 × 3 × 5^2 × 17 × 19

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 216

Divisor Sum (σ) 22,811,040

Proper Divisor Sum 16,609,440

Digit Sum / Digital Root 15 (Root: 6)

Adjacent Primes #6201599 ← → #6201641

Radix Representation

Decimal	6201600
Binary	10111101010000100000000 (23 bits)
Octal	0o27520400
Hexadecimal	0x5EA100

Divisor Catalog (60 of 216)

1 2 3 4 5 6 8 10 12 15 16 17 19 20 24 25 30 32 34 38 40 48 50 51 57 60 64 68 75 76 80 85 95 96 100 102 114 120 128 136 150 152 160 170 190 192 200 204 228 240 255 256 272 285 300 304 320 323 340 380

Collatz Trajectory (77 steps to reach 1)

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

6,201,600 3,100,800 1,550,400 775,200 387,600 193,800 96,900 48,450 24,225 72,676 36,338 18,169 54,508 27,254 13,627 40,882 20,441 61,324 30,662 15,331 45,994 22,997 68,992 34,496 17,248 8,624 4,312 2,156 1,078 539 1,618 809 2,428 1,214 607 1,822 911 2,734 1,367 4,102 2,051 6,154 3,077 9,232 4,616 2,308 1,154 577 1,732 866 433 1,300 650 325 976 488 244 122 61 184

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