λ
Harmonic Matrix

1,701,693

32 × 7 × 27011
Deficient Odd Composite

1,701,693 has digital root 9. The neighboring primes are 1701653 and 1701709; its proper-divisor sum differs from the starting integer by -594,138.

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Prime Factor Structure

Factorization String 3^2 × 7 × 27011
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 2,809,248
Proper Divisor Sum 1,107,555
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #1701653 ← → #1701709

Radix Representation

Decimal 1701693
Binary 110011111011100111101 (21 bits)
Octal 0o6373475
Hexadecimal 0x19F73D

Divisor Catalog (5 of 12)

1 3 7 9 21

Collatz Trajectory (127 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.

1,701,693 5,105,080 2,552,540 1,276,270 638,135

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