λ
Prime Ledger

688,927

691 × 997
Deficient Odd Composite

688,927 has the prime decomposition 691 × 997. Its 2 distinct prime factors produce 4 positive divisors.

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Prime Factor Structure

Factorization String 691 × 997
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 690,616
Proper Divisor Sum 1,689
Digit Sum / Digital Root 40 (Root: 4)
Adjacent Primes #688907 ← → #688939

Radix Representation

Decimal 688927
Binary 10101000001100011111 (20 bits)
Octal 0o2501437
Hexadecimal 0xA831F

Divisor Catalog (4)

1 691 997 688,927

Collatz Trajectory (198 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.

688,927 2,066,782 1,033,391 3,100,174 1,550,087

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