λ
Harmonic Matrix

1,717,929

34 × 127 × 167
Deficient Odd Composite

1,717,929 has digital root 9. The neighboring primes are 1717913 and 1717951; its proper-divisor sum differs from the starting integer by -833,874.

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Prime Factor Structure

Factorization String 3^4 × 127 × 167
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 20
Divisor Sum (σ) 2,601,984
Proper Divisor Sum 884,055
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #1717913 ← → #1717951

Radix Representation

Decimal 1717929
Binary 110100011011010101001 (21 bits)
Octal 0o6433251
Hexadecimal 0x1A36A9

Divisor Catalog (5 of 20)

1 3 9 27 81

Collatz Trajectory (189 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.

1,717,929 5,153,788 2,576,894 1,288,447 3,865,342

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