λ
Harmonic Matrix

2,561,763

3 × 23 × 137 × 271
Deficient Odd Composite

2,561,763 has digital root 3. The neighboring primes are 2561761 and 2561771; its proper-divisor sum differs from the starting integer by -1,520,070.

Prime Factor Structure

Factorization String 3 × 23 × 137 × 271
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 3,603,456
Proper Divisor Sum 1,041,693
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #2561761 ← → #2561771

Radix Representation

Decimal 2561763
Binary 1001110001011011100011 (22 bits)
Octal 0o11613343
Hexadecimal 0x2716E3

Divisor Catalog (16)

Collatz Trajectory (81 steps to reach 1)

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

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