λ
Harmonic Matrix

314,584

23 × 39323
Deficient Even Composite

314,584 has digital root 7. The neighboring primes are 314581 and 314591; its proper-divisor sum differs from the starting integer by -39,308.

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Prime Factor Structure

Factorization String 2^3 × 39323
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 589,860
Proper Divisor Sum 275,276
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #314581 ← → #314591

Radix Representation

Decimal 314584
Binary 1001100110011011000 (19 bits)
Octal 0o1146330
Hexadecimal 0x4CCD8

Divisor Catalog (5 of 8)

1 2 4 8 39,323

Collatz Trajectory (109 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.

314,584 157,292 78,646 39,323 117,970

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