λ
Modular Archive

1,116,225

32 × 52 × 112 × 41
Abundant Odd Composite

The decimal integer 1,116,225 is 100010000100001000001 in binary (21 bits), 4204101 in octal and 110841 in hexadecimal. Its digit sum is 18.

Prime Factor Structure

Factorization String 3^2 × 5^2 × 11^2 × 41
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 54
Divisor Sum (σ) 2,251,158
Proper Divisor Sum 1,134,933
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #1116223 ← → #1116229

Radix Representation

Decimal 1116225
Binary 100010000100001000001 (21 bits)
Octal 0o4204101
Hexadecimal 0x110841

Divisor Catalog (54)

1 3 5 9 11 15 25 33 41 45 55 75 99 121 123 165 205 225 275 363 369 451 495 605 615 825 1,025 1,089 1,353 1,815 1,845 2,255 2,475 3,025 3,075 4,059 4,961 5,445 6,765 9,075 9,225 11,275 14,883 20,295 24,805 27,225 33,825 44,649 74,415 101,475 124,025 223,245 372,075 1,116,225

Collatz Trajectory (116 steps to reach 1)

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

1,116,225 3,348,676 1,674,338 837,169 2,511,508 1,255,754 627,877 1,883,632 941,816 470,908 235,454 117,727 353,182 176,591 529,774 264,887 794,662 397,331 1,191,994 595,997 1,787,992 893,996 446,998 223,499 670,498 335,249 1,005,748 502,874 251,437 754,312 377,156 188,578 94,289 282,868 141,434 70,717 212,152 106,076 53,038 26,519 79,558 39,779 119,338 59,669 179,008 89,504 44,752 22,376 11,188 5,594 2,797 8,392 4,196 2,098 1,049 3,148 1,574 787 2,362 1,181

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