λ
Harmonic Matrix

428,705

5 × 179 × 479
Deficient Odd Composite

428,705 has digital root 8. The neighboring primes are 428693 and 428731; its proper-divisor sum differs from the starting integer by -339,010.

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Prime Factor Structure

Factorization String 5 × 179 × 479
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 518,400
Proper Divisor Sum 89,695
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #428693 ← → #428731

Radix Representation

Decimal 428705
Binary 1101000101010100001 (19 bits)
Octal 0o1505241
Hexadecimal 0x68AA1

Divisor Catalog (5 of 8)

1 5 179 479 895

Collatz Trajectory (174 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.

428,705 1,286,116 643,058 321,529 964,588

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