λ
Sigma Notebook

1,328,228

22 × 11 × 30187
Deficient Even Composite

1,328,228 is even and not a perfect square. Its factorization is 2^2 × 11 × 30187 and its 12 divisors sum to 2,535,792.

Prime Factor Structure

Factorization String 2^2 × 11 × 30187
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 2,535,792
Proper Divisor Sum 1,207,564
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #1328219 ← → #1328231

Radix Representation

Decimal 1328228
Binary 101000100010001100100 (21 bits)
Octal 0o5042144
Hexadecimal 0x144464

Divisor Catalog (12)

1 2 4 11 22 44 30,187 60,374 120,748 332,057 664,114 1,328,228

Collatz Trajectory (142 steps to reach 1)

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

1,328,228 664,114 332,057 996,172 498,086 249,043 747,130 373,565 1,120,696 560,348 280,174 140,087 420,262 210,131 630,394 315,197 945,592 472,796 236,398 118,199 354,598 177,299 531,898 265,949 797,848 398,924 199,462 99,731 299,194 149,597 448,792 224,396 112,198 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

More profiles

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