λ
Harmonic Matrix

742,317

3 × 247439
Deficient Odd Composite

742,317 has digital root 6. The neighboring primes are 742307 and 742327; its proper-divisor sum differs from the starting integer by -494,874.

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Prime Factor Structure

Factorization String 3 × 247439
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 989,760
Proper Divisor Sum 247,443
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #742307 ← → #742327

Radix Representation

Decimal 742317
Binary 10110101001110101101 (20 bits)
Octal 0o2651655
Hexadecimal 0xB53AD

Divisor Catalog (4)

Collatz Trajectory (118 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.

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