λ
Sigma Notebook

1,594,800

24 × 32 × 52 × 443
Abundant Even Composite

1,594,800 is even and not a perfect square. Its factorization is 2^4 × 3^2 × 5^2 × 443 and its 90 divisors sum to 5,546,892.

Prime Factor Structure

Factorization String 2^4 × 3^2 × 5^2 × 443
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 90
Divisor Sum (σ) 5,546,892
Proper Divisor Sum 3,952,092
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #1594793 ← → #1594807

Radix Representation

Decimal 1594800
Binary 110000101010110110000 (21 bits)
Octal 0o6052660
Hexadecimal 0x1855B0

Divisor Catalog (60 of 90)

1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 30 36 40 45 48 50 60 72 75 80 90 100 120 144 150 180 200 225 240 300 360 400 443 450 600 720 886 900 1,200 1,329 1,772 1,800 2,215 2,658 3,544 3,600 3,987 4,430 5,316 6,645 7,088 7,974 8,860 10,632

Collatz Trajectory (101 steps to reach 1)

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

1,594,800 797,400 398,700 199,350 99,675 299,026 149,513 448,540 224,270 112,135 336,406 168,203 504,610 252,305 756,916 378,458 189,229 567,688 283,844 141,922 70,961 212,884 106,442 53,221 159,664 79,832 39,916 19,958 9,979 29,938 14,969 44,908 22,454 11,227 33,682 16,841 50,524 25,262 12,631 37,894 18,947 56,842 28,421 85,264 42,632 21,316 10,658 5,329 15,988 7,994 3,997 11,992 5,996 2,998 1,499 4,498 2,249 6,748 3,374 1,687

More profiles

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