λ
Harmonic Matrix

3,601,728

26 × 32 × 132 × 37
Abundant Even Composite

3,601,728 has digital root 9. The neighboring primes are 3601711 and 3601729; its proper-divisor sum differs from the starting integer by 4,277,598.

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Prime Factor Structure

Factorization String 2^6 × 3^2 × 13^2 × 37
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 126
Divisor Sum (σ) 11,481,054
Proper Divisor Sum 7,879,326
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #3601711 ← → #3601729

Radix Representation

Decimal 3601728
Binary 1101101111010101000000 (22 bits)
Octal 0o15572500
Hexadecimal 0x36F540

Divisor Catalog (5 of 126)

1 2 3 4 6

Collatz Trajectory (159 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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