λ
Prime Ledger

1,800,804

22 × 3 × 150067
Abundant Even Composite

1,800,804 has the prime decomposition 2^2 × 3 × 150067. Its 3 distinct prime factors produce 12 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3 × 150067
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 4,201,904
Proper Divisor Sum 2,401,100
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #1800803 ← → #1800809

Radix Representation

Decimal 1800804
Binary 110110111101001100100 (21 bits)
Octal 0o6675144
Hexadecimal 0x1B7A64

Divisor Catalog (12)

1 2 3 4 6 12 150,067 300,134 450,201 600,268 900,402 1,800,804

Collatz Trajectory (189 steps to reach 1)

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

1,800,804 900,402 450,201 1,350,604 675,302 337,651 1,012,954 506,477 1,519,432 759,716 379,858 189,929 569,788 284,894 142,447 427,342 213,671 641,014 320,507 961,522 480,761 1,442,284 721,142 360,571 1,081,714 540,857 1,622,572 811,286 405,643 1,216,930 608,465 1,825,396 912,698 456,349 1,369,048 684,524 342,262 171,131 513,394 256,697 770,092 385,046 192,523 577,570 288,785 866,356 433,178 216,589 649,768 324,884 162,442 81,221 243,664 121,832 60,916 30,458 15,229 45,688 22,844 11,422

More profiles

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