λ
Harmonic Matrix

3,232,440

23 × 33 × 5 × 41 × 73
Abundant Even Composite

3,232,440 has digital root 9. The neighboring primes are 3232429 and 3232441; its proper-divisor sum differs from the starting integer by 4,723,920.

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Prime Factor Structure

Factorization String 2^3 × 3^3 × 5 × 41 × 73
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 128
Divisor Sum (σ) 11,188,800
Proper Divisor Sum 7,956,360
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #3232429 ← → #3232441

Radix Representation

Decimal 3232440
Binary 1100010101001010111000 (22 bits)
Octal 0o14251270
Hexadecimal 0x3152B8

Divisor Catalog (5 of 128)

1 2 3 4 5

Collatz Trajectory (102 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.

3,232,440 1,616,220 808,110 404,055 1,212,166

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