λ
Harmonic Matrix

220,504

23 × 43 × 641
Deficient Even Composite

220,504 has digital root 4. The neighboring primes are 220471 and 220511; its proper-divisor sum differs from the starting integer by -17,288.

Prime Factor Structure

Factorization String 2^3 × 43 × 641
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 423,720
Proper Divisor Sum 203,216
Digit Sum / Digital Root 13 (Root: 4)
Adjacent Primes #220471 ← → #220511

Radix Representation

Decimal 220504
Binary 110101110101011000 (18 bits)
Octal 0o656530
Hexadecimal 0x35D58

Divisor Catalog (16)

Collatz Trajectory (62 steps to reach 1)

Iterative sequence n → n/2 (if even) or 3n+1 (if odd):

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