λ
Harmonic Matrix

1,567,310

2 × 5 × 19 × 73 × 113
Deficient Even Composite

1,567,310 has digital root 5. The neighboring primes are 1567303 and 1567327; its proper-divisor sum differs from the starting integer by -97,660.

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Prime Factor Structure

Factorization String 2 × 5 × 19 × 73 × 113
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 3,036,960
Proper Divisor Sum 1,469,650
Digit Sum / Digital Root 23 (Root: 5)
Adjacent Primes #1567303 ← → #1567327

Radix Representation

Decimal 1567310
Binary 101111110101001001110 (21 bits)
Octal 0o5765116
Hexadecimal 0x17EA4E

Divisor Catalog (5 of 32)

1 2 5 10 19

Collatz Trajectory (132 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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