λ
Harmonic Matrix

3,512,564

22 × 11 × 97 × 823
Deficient Even Composite

3,512,564 has digital root 8. The neighboring primes are 3512533 and 3512573; its proper-divisor sum differs from the starting integer by -241,960.

Prime Factor Structure

Factorization String 2^2 × 11 × 97 × 823
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 6,783,168
Proper Divisor Sum 3,270,604
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #3512533 ← → #3512573

Radix Representation

Decimal 3512564
Binary 1101011001100011110100 (22 bits)
Octal 0o15314364
Hexadecimal 0x3598F4

Divisor Catalog (24)

Collatz Trajectory (71 steps to reach 1)

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

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