λ
Harmonic Matrix

3,231,787

133 × 1471
Deficient Odd Composite

3,231,787 has digital root 4. The neighboring primes are 3231779 and 3231791; its proper-divisor sum differs from the starting integer by -2,960,214.

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Prime Factor Structure

Factorization String 13^3 × 1471
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 3,503,360
Proper Divisor Sum 271,573
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #3231779 ← → #3231791

Radix Representation

Decimal 3231787
Binary 1100010101000000101011 (22 bits)
Octal 0o14250053
Hexadecimal 0x31502B

Divisor Catalog (5 of 8)

1 13 169 1,471 2,197

Collatz Trajectory (164 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.

3,231,787 9,695,362 4,847,681 14,543,044 7,271,522

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