λ
Harmonic Matrix

1,232,725

52 × 13 × 3793
Deficient Odd Composite

1,232,725 has digital root 4. The neighboring primes are 1232719 and 1232771; its proper-divisor sum differs from the starting integer by -818,854.

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Prime Factor Structure

Factorization String 5^2 × 13 × 3793
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 1,646,596
Proper Divisor Sum 413,871
Digit Sum / Digital Root 22 (Root: 4)
Adjacent Primes #1232719 ← → #1232771

Radix Representation

Decimal 1232725
Binary 100101100111101010101 (21 bits)
Octal 0o4547525
Hexadecimal 0x12CF55

Divisor Catalog (5 of 12)

1 5 13 25 65

Collatz Trajectory (80 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.

1,232,725 3,698,176 1,849,088 924,544 462,272

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