λ
Ratio Atlas
Atlas › Integer Profiles › Node 1,800,192

1,800,192

211 × 3 × 293
Abundant Even Composite

1,800,192 factors as 2^11 × 3 × 293. Its 48 positive divisors give a proper-divisor sum of 3,015,528, so this integer is abundant. The Collatz stopping time is 158 steps.

Prime Factor Structure

Factorization String 2^11 × 3 × 293
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 4,815,720
Proper Divisor Sum 3,015,528
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #1800191 ← → #1800199

Radix Representation

Decimal 1800192
Binary 110110111100000000000 (21 bits)
Octal 0o6674000
Hexadecimal 0x1B7800

Divisor Catalog (48)

1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 293 384 512 586 768 879 1,024 1,172 1,536 1,758 2,048 2,344 3,072 3,516 4,688 6,144 7,032 9,376 14,064 18,752 28,128 37,504 56,256 75,008 112,512 150,016 225,024 300,032 450,048 600,064 900,096 1,800,192

Collatz Trajectory (158 steps to reach 1)

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

1,800,192 900,096 450,048 225,024 112,512 56,256 28,128 14,064 7,032 3,516 1,758 879 2,638 1,319 3,958 1,979 5,938 2,969 8,908 4,454 2,227 6,682 3,341 10,024 5,012 2,506 1,253 3,760 1,880 940 470 235 706 353 1,060 530 265 796 398 199 598 299 898 449 1,348 674 337 1,012 506 253 760 380 190 95 286 143 430 215 646 323

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