λ
Harmonic Matrix

5,357,601

32 × 17 × 192 × 97
Deficient Odd Composite

5,357,601 has digital root 9. The neighboring primes are 5357587 and 5357603; its proper-divisor sum differs from the starting integer by -1,978,110.

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Prime Factor Structure

Factorization String 3^2 × 17 × 19^2 × 97
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 8,737,092
Proper Divisor Sum 3,379,491
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #5357587 ← → #5357603

Radix Representation

Decimal 5357601
Binary 10100011100000000100001 (23 bits)
Octal 0o24340041
Hexadecimal 0x51C021

Divisor Catalog (5 of 36)

1 3 9 17 19

Collatz Trajectory (95 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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