λ
Harmonic Matrix

5,785,156

22 × 13 × 111253
Deficient Even Composite

5,785,156 has digital root 1. The neighboring primes are 5785147 and 5785193; its proper-divisor sum differs from the starting integer by -667,420.

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Prime Factor Structure

Factorization String 2^2 × 13 × 111253
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 10,902,892
Proper Divisor Sum 5,117,736
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #5785147 ← → #5785193

Radix Representation

Decimal 5785156
Binary 10110000100011001000100 (23 bits)
Octal 0o26043104
Hexadecimal 0x584644

Divisor Catalog (5 of 12)

1 2 4 13 26

Collatz Trajectory (69 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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