λ
Sigma Notebook

6,937,936

24 × 199 × 2179
Deficient Even Composite

6,937,936 is even and not a perfect square. Its factorization is 2^4 × 199 × 2179 and its 20 divisors sum to 13,516,000.

Prime Factor Structure

Factorization String 2^4 × 199 × 2179
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 20
Divisor Sum (σ) 13,516,000
Proper Divisor Sum 6,578,064
Digit Sum / Digital Root 43 (Root: 7)
Adjacent Primes #6937933 ← → #6937937

Radix Representation

Decimal 6937936
Binary 11010011101110101010000 (23 bits)
Octal 0o32356520
Hexadecimal 0x69DD50

Divisor Catalog (20)

1 2 4 8 16 199 398 796 1,592 2,179 3,184 4,358 8,716 17,432 34,864 433,621 867,242 1,734,484 3,468,968 6,937,936

Collatz Trajectory (54 steps to reach 1)

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

6,937,936 3,468,968 1,734,484 867,242 433,621 1,300,864 650,432 325,216 162,608 81,304 40,652 20,326 10,163 30,490 15,245 45,736 22,868 11,434 5,717 17,152 8,576 4,288 2,144 1,072 536 268 134 67 202 101 304 152 76 38 19 58 29 88 44 22 11 34 17 52 26 13 40 20 10 5 16 8 4 2 1

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