λ
Harmonic Matrix

7,285,632

27 × 3 × 18973
Abundant Even Composite

7,285,632 has digital root 6. The neighboring primes are 7285631 and 7285643; its proper-divisor sum differs from the starting integer by 4,782,216.

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Prime Factor Structure

Factorization String 2^7 × 3 × 18973
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 19,353,480
Proper Divisor Sum 12,067,848
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #7285631 ← → #7285643

Radix Representation

Decimal 7285632
Binary 11011110010101110000000 (23 bits)
Octal 0o33625600
Hexadecimal 0x6F2B80

Divisor Catalog (5 of 32)

1 2 3 4 6

Collatz Trajectory (59 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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