λ
Harmonic Matrix

472,748

22 × 73 × 1619
Deficient Even Composite

472,748 has digital root 5. The neighboring primes are 472741 and 472751; its proper-divisor sum differs from the starting integer by -106,336.

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Prime Factor Structure

Factorization String 2^2 × 73 × 1619
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 839,160
Proper Divisor Sum 366,412
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #472741 ← → #472751

Radix Representation

Decimal 472748
Binary 1110011011010101100 (19 bits)
Octal 0o1633254
Hexadecimal 0x736AC

Divisor Catalog (5 of 12)

1 2 4 73 146

Collatz Trajectory (337 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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