λ
Harmonic Matrix

1,567,508

22 × 29 × 13513
Deficient Even Composite

1,567,508 has digital root 5. The neighboring primes are 1567499 and 1567513; its proper-divisor sum differs from the starting integer by -297,076.

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Prime Factor Structure

Factorization String 2^2 × 29 × 13513
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 2,837,940
Proper Divisor Sum 1,270,432
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #1567499 ← → #1567513

Radix Representation

Decimal 1567508
Binary 101111110101100010100 (21 bits)
Octal 0o5765424
Hexadecimal 0x17EB14

Divisor Catalog (5 of 12)

1 2 4 29 58

Collatz Trajectory (70 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.

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