λ
Sigma Notebook

2,132,650

2 × 52 × 13 × 17 × 193
Abundant Even Composite

2,132,650 is even and not a perfect square. Its factorization is 2 × 5^2 × 13 × 17 × 193 and its 48 divisors sum to 4,546,584.

Prime Factor Structure

Factorization String 2 × 5^2 × 13 × 17 × 193
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 4,546,584
Proper Divisor Sum 2,413,934
Digit Sum / Digital Root 19 (Root: 1)
Adjacent Primes #2132639 ← → #2132653

Radix Representation

Decimal 2132650
Binary 1000001000101010101010 (22 bits)
Octal 0o10105252
Hexadecimal 0x208AAA

Divisor Catalog (48)

1 2 5 10 13 17 25 26 34 50 65 85 130 170 193 221 325 386 425 442 650 850 965 1,105 1,930 2,210 2,509 3,281 4,825 5,018 5,525 6,562 9,650 11,050 12,545 16,405 25,090 32,810 42,653 62,725 82,025 85,306 125,450 164,050 213,265 426,530 1,066,325 2,132,650

Collatz Trajectory (135 steps to reach 1)

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

2,132,650 1,066,325 3,198,976 1,599,488 799,744 399,872 199,936 99,968 49,984 24,992 12,496 6,248 3,124 1,562 781 2,344 1,172 586 293 880 440 220 110 55 166 83 250 125 376 188 94 47 142 71 214 107 322 161 484 242 121 364 182 91 274 137 412 206 103 310 155 466 233 700 350 175 526 263 790 395

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