λ
Harmonic Matrix

1,729,470

2 × 3 × 5 × 57649
Abundant Even Composite

1,729,470 has digital root 3. The neighboring primes are 1729457 and 1729477; its proper-divisor sum differs from the starting integer by 691,860.

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Prime Factor Structure

Factorization String 2 × 3 × 5 × 57649
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 4,150,800
Proper Divisor Sum 2,421,330
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #1729457 ← → #1729477

Radix Representation

Decimal 1729470
Binary 110100110001110111110 (21 bits)
Octal 0o6461676
Hexadecimal 0x1A63BE

Divisor Catalog (5 of 16)

1 2 3 5 6

Collatz Trajectory (220 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.

1,729,470 864,735 2,594,206 1,297,103 3,891,310

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