λ
Harmonic Matrix

1,717,565

5 × 269 × 1277
Deficient Odd Composite

1,717,565 has digital root 5. The neighboring primes are 1717553 and 1717567; its proper-divisor sum differs from the starting integer by -1,364,770.

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Prime Factor Structure

Factorization String 5 × 269 × 1277
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 2,070,360
Proper Divisor Sum 352,795
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #1717553 ← → #1717567

Radix Representation

Decimal 1717565
Binary 110100011010100111101 (21 bits)
Octal 0o6432475
Hexadecimal 0x1A353D

Divisor Catalog (5 of 8)

1 5 269 1,277 1,345

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.

1,717,565 5,152,696 2,576,348 1,288,174 644,087

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