λ
Sigma Notebook

2,184,688

24 × 11 × 12413
Abundant Even Composite

2,184,688 is even and not a perfect square. Its factorization is 2^4 × 11 × 12413 and its 20 divisors sum to 4,618,008.

Prime Factor Structure

Factorization String 2^4 × 11 × 12413
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 20
Divisor Sum (σ) 4,618,008
Proper Divisor Sum 2,433,320
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #2184673 ← → #2184697

Radix Representation

Decimal 2184688
Binary 1000010101010111110000 (22 bits)
Octal 0o10252760
Hexadecimal 0x2155F0

Divisor Catalog (20)

1 2 4 8 11 16 22 44 88 176 12,413 24,826 49,652 99,304 136,543 198,608 273,086 546,172 1,092,344 2,184,688

Collatz Trajectory (86 steps to reach 1)

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

2,184,688 1,092,344 546,172 273,086 136,543 409,630 204,815 614,446 307,223 921,670 460,835 1,382,506 691,253 2,073,760 1,036,880 518,440 259,220 129,610 64,805 194,416 97,208 48,604 24,302 12,151 36,454 18,227 54,682 27,341 82,024 41,012 20,506 10,253 30,760 15,380 7,690 3,845 11,536 5,768 2,884 1,442 721 2,164 1,082 541 1,624 812 406 203 610 305 916 458 229 688 344 172 86 43 130 65

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