λ
Harmonic Matrix

7,292,173

7 × 23 × 45293
Deficient Odd Composite

7,292,173 has digital root 4. The neighboring primes are 7292149 and 7292177; its proper-divisor sum differs from the starting integer by -5,887,898.

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Prime Factor Structure

Factorization String 7 × 23 × 45293
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 8,696,448
Proper Divisor Sum 1,404,275
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #7292149 ← → #7292177

Radix Representation

Decimal 7292173
Binary 11011110100010100001101 (23 bits)
Octal 0o33642415
Hexadecimal 0x6F450D

Divisor Catalog (5 of 8)

1 7 23 161 45,293

Collatz Trajectory (173 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.

7,292,173 21,876,520 10,938,260 5,469,130 2,734,565

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