λ
Matchaa Zalai

6,756,113

7 × 132 × 5711
Deficient Odd Composite

6,756,113 factors as 7 × 13^2 × 5711. Its 12 positive divisors give a proper-divisor sum of 1,606,255, so this integer is deficient. The Collatz stopping time is 160 steps.

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Prime Factor Structure

Factorization String 7 × 13^2 × 5711
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 8,362,368
Proper Divisor Sum 1,606,255
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #6756097 ← → #6756131

Radix Representation

Decimal 6756113
Binary 11001110001011100010001 (23 bits)
Octal 0o31613421
Hexadecimal 0x671711

Divisor Catalog (5 of 12)

1 7 13 91 169

Collatz Trajectory (160 steps to reach 1)

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

Showing the first 5 trajectory entries; the stopping-time total above is unchanged.

6,756,113 20,268,340 10,134,170 5,067,085 15,201,256

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