λ
Matchaa Zalai

7,843,498

2 × 13 × 301673
Deficient Even Composite

7,843,498 factors as 2 × 13 × 301673. Its 8 positive divisors give a proper-divisor sum of 4,826,810, so this integer is deficient. The Collatz stopping time is 186 steps.

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Prime Factor Structure

Factorization String 2 × 13 × 301673
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 12,670,308
Proper Divisor Sum 4,826,810
Digit Sum / Digital Root 43 (Root: 7)
Adjacent Primes #7843487 ← → #7843513

Radix Representation

Decimal 7843498
Binary 11101111010111010101010 (23 bits)
Octal 0o35727252
Hexadecimal 0x77AEAA

Divisor Catalog (5 of 8)

1 2 13 26 301,673

Collatz Trajectory (186 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.

7,843,498 3,921,749 11,765,248 5,882,624 2,941,312

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