λ
Sigma Notebook

2,509,689

3 × 7 × 13 × 29 × 317
Deficient Odd Composite

2,509,689 is odd and not a perfect square. Its factorization is 3 × 7 × 13 × 29 × 317 and its 32 divisors sum to 4,273,920.

Prime Factor Structure

Factorization String 3 × 7 × 13 × 29 × 317
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 4,273,920
Proper Divisor Sum 1,764,231
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #2509687 ← → #2509721

Radix Representation

Decimal 2509689
Binary 1001100100101101111001 (22 bits)
Octal 0o11445571
Hexadecimal 0x264B79

Divisor Catalog (32)

Collatz Trajectory (280 steps to reach 1)

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

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