λ
Harmonic Matrix

6,189,274

2 × 7 × 13 × 31 × 1097
Deficient Even Composite

6,189,274 has digital root 1. The neighboring primes are 6189257 and 6189299; its proper-divisor sum differs from the starting integer by -572,852.

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Prime Factor Structure

Factorization String 2 × 7 × 13 × 31 × 1097
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 11,805,696
Proper Divisor Sum 5,616,422
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #6189257 ← → #6189299

Radix Representation

Decimal 6189274
Binary 10111100111000011011010 (23 bits)
Octal 0o27470332
Hexadecimal 0x5E70DA

Divisor Catalog (5 of 32)

1 2 7 13 14

Collatz Trajectory (227 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.

6,189,274 3,094,637 9,283,912 4,641,956 2,320,978

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