λ
Harmonic Matrix

345,628

22 × 71 × 1217
Deficient Even Composite

345,628 has digital root 1. The neighboring primes are 345607 and 345637; its proper-divisor sum differs from the starting integer by -77,384.

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Prime Factor Structure

Factorization String 2^2 × 71 × 1217
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 613,872
Proper Divisor Sum 268,244
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #345607 ← → #345637

Radix Representation

Decimal 345628
Binary 1010100011000011100 (19 bits)
Octal 0o1243034
Hexadecimal 0x5461C

Divisor Catalog (5 of 12)

1 2 4 71 142

Collatz Trajectory (73 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.

345,628 172,814 86,407 259,222 129,611

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