λ
Harmonic Matrix

1,731,625

53 × 7 × 1979
Deficient Odd Composite

1,731,625 has digital root 7. The neighboring primes are 1731617 and 1731643; its proper-divisor sum differs from the starting integer by -992,210.

Prime Factor Structure

Factorization String 5^3 × 7 × 1979
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 2,471,040
Proper Divisor Sum 739,415
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #1731617 ← → #1731643

Radix Representation

Decimal 1731625
Binary 110100110110000101001 (21 bits)
Octal 0o6466051
Hexadecimal 0x1A6C29

Divisor Catalog (16)

Collatz Trajectory (189 steps to reach 1)

Iterative sequence n → n/2 (if even) or 3n+1 (if odd):

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