λ
Sigma Notebook

2,241,404

22 × 113 × 421
Deficient Even Composite

2,241,404 is even and not a perfect square. Its factorization is 2^2 × 11^3 × 421 and its 24 divisors sum to 4,324,656.

Prime Factor Structure

Factorization String 2^2 × 11^3 × 421
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 4,324,656
Proper Divisor Sum 2,083,252
Digit Sum / Digital Root 17 (Root: 8)
Adjacent Primes #2241397 ← → #2241409

Radix Representation

Decimal 2241404
Binary 1000100011001101111100 (22 bits)
Octal 0o10431574
Hexadecimal 0x22337C

Divisor Catalog (24)

1 2 4 11 22 44 121 242 421 484 842 1,331 1,684 2,662 4,631 5,324 9,262 18,524 50,941 101,882 203,764 560,351 1,120,702 2,241,404

Collatz Trajectory (135 steps to reach 1)

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

2,241,404 1,120,702 560,351 1,681,054 840,527 2,521,582 1,260,791 3,782,374 1,891,187 5,673,562 2,836,781 8,510,344 4,255,172 2,127,586 1,063,793 3,191,380 1,595,690 797,845 2,393,536 1,196,768 598,384 299,192 149,596 74,798 37,399 112,198 56,099 168,298 84,149 252,448 126,224 63,112 31,556 15,778 7,889 23,668 11,834 5,917 17,752 8,876 4,438 2,219 6,658 3,329 9,988 4,994 2,497 7,492 3,746 1,873 5,620 2,810 1,405 4,216 2,108 1,054 527 1,582 791 2,374

More profiles

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