λ
Harmonic Matrix

692,993

7 × 98999
Deficient Odd Composite

692,993 has digital root 2. The neighboring primes are 692983 and 693019; its proper-divisor sum differs from the starting integer by -593,986.

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Prime Factor Structure

Factorization String 7 × 98999
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 792,000
Proper Divisor Sum 99,007
Digit Sum / Digital Root 38 (Root: 2)
Adjacent Primes #692983 ← → #693019

Radix Representation

Decimal 692993
Binary 10101001001100000001 (20 bits)
Octal 0o2511401
Hexadecimal 0xA9301

Divisor Catalog (4)

1 7 98,999 692,993

Collatz Trajectory (167 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.

692,993 2,078,980 1,039,490 519,745 1,559,236

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