λ
Harmonic Matrix

7,571,921

72 × 41 × 3769
Deficient Odd Composite

7,571,921 has digital root 5. The neighboring primes are 7571911 and 7571933; its proper-divisor sum differs from the starting integer by -6,118,462.

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Prime Factor Structure

Factorization String 7^2 × 41 × 3769
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 9,025,380
Proper Divisor Sum 1,453,459
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #7571911 ← → #7571933

Radix Representation

Decimal 7571921
Binary 11100111000100111010001 (23 bits)
Octal 0o34704721
Hexadecimal 0x7389D1

Divisor Catalog (5 of 12)

1 7 41 49 287

Collatz Trajectory (111 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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