λ
Sigma Notebook

2,827,617

3 × 13 × 72503
Deficient Odd Composite

2,827,617 is odd and not a perfect square. Its factorization is 3 × 13 × 72503 and its 8 divisors sum to 4,060,224.

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Prime Factor Structure

Factorization String 3 × 13 × 72503
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 4,060,224
Proper Divisor Sum 1,232,607
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #2827571 ← → #2827621

Radix Representation

Decimal 2827617
Binary 1010110010010101100001 (22 bits)
Octal 0o12622541
Hexadecimal 0x2B2561

Divisor Catalog (5 of 8)

1 3 13 39 72,503

Collatz Trajectory (200 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.

2,827,617 8,482,852 4,241,426 2,120,713 6,362,140

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