λ
Sigma Notebook

8,593,084

22 × 103 × 20857
Deficient Even Composite

8,593,084 is even and not a perfect square. Its factorization is 2^2 × 103 × 20857 and its 12 divisors sum to 15,184,624.

Prime Factor Structure

Factorization String 2^2 × 103 × 20857
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 15,184,624
Proper Divisor Sum 6,591,540
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #8593043 ← → #8593087

Radix Representation

Decimal 8593084
Binary 100000110001111010111100 (24 bits)
Octal 0o40617274
Hexadecimal 0x831EBC

Divisor Catalog (12)

1 2 4 103 206 412 20,857 41,714 83,428 2,148,271 4,296,542 8,593,084

Collatz Trajectory (75 steps to reach 1)

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

8,593,084 4,296,542 2,148,271 6,444,814 3,222,407 9,667,222 4,833,611 14,500,834 7,250,417 21,751,252 10,875,626 5,437,813 16,313,440 8,156,720 4,078,360 2,039,180 1,019,590 509,795 1,529,386 764,693 2,294,080 1,147,040 573,520 286,760 143,380 71,690 35,845 107,536 53,768 26,884 13,442 6,721 20,164 10,082 5,041 15,124 7,562 3,781 11,344 5,672 2,836 1,418 709 2,128 1,064 532 266 133 400 200 100 50 25 76 38 19 58 29 88 44

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