λ
Harmonic Matrix

6,117,521

29 × 193 × 1093
Deficient Odd Composite

6,117,521 has digital root 5. The neighboring primes are 6117491 and 6117541; its proper-divisor sum differs from the starting integer by -5,867,962.

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Prime Factor Structure

Factorization String 29 × 193 × 1093
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 6,367,080
Proper Divisor Sum 249,559
Digit Sum / Digital Root 23 (Root: 5)
Adjacent Primes #6117491 ← → #6117541

Radix Representation

Decimal 6117521
Binary 10111010101100010010001 (23 bits)
Octal 0o27254221
Hexadecimal 0x5D5891

Divisor Catalog (5 of 8)

Collatz Trajectory (139 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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