λ
Harmonic Matrix

5,759,096

23 × 7 × 102841
Abundant Even Composite

5,759,096 has digital root 5. The neighboring primes are 5759093 and 5759099; its proper-divisor sum differs from the starting integer by 822,848.

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Prime Factor Structure

Factorization String 2^3 × 7 × 102841
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 12,341,040
Proper Divisor Sum 6,581,944
Digit Sum / Digital Root 41 (Root: 5)
Adjacent Primes #5759093 ← → #5759099

Radix Representation

Decimal 5759096
Binary 10101111110000001111000 (23 bits)
Octal 0o25760170
Hexadecimal 0x57E078

Divisor Catalog (5 of 16)

1 2 4 7 8

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.

5,759,096 2,879,548 1,439,774 719,887 2,159,662

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