λ
Prime Ledger

6,837,026

2 × 7 × 17 × 23 × 1249
Deficient Even Composite

6,837,026 has the prime decomposition 2 × 7 × 17 × 23 × 1249. Its 5 distinct prime factors produce 32 positive divisors.

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Prime Factor Structure

Factorization String 2 × 7 × 17 × 23 × 1249
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 12,960,000
Proper Divisor Sum 6,122,974
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #6837001 ← → #6837029

Radix Representation

Decimal 6837026
Binary 11010000101001100100010 (23 bits)
Octal 0o32051442
Hexadecimal 0x685322

Divisor Catalog (5 of 32)

1 2 7 14 17

Collatz Trajectory (103 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.

6,837,026 3,418,513 10,255,540 5,127,770 2,563,885

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