λ
Harmonic Matrix

380,016

24 × 32 × 7 × 13 × 29
Abundant Even Composite

380,016 has digital root 9. The neighboring primes are 379999 and 380041; its proper-divisor sum differs from the starting integer by 594,048.

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Prime Factor Structure

Factorization String 2^4 × 3^2 × 7 × 13 × 29
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 120
Divisor Sum (σ) 1,354,080
Proper Divisor Sum 974,064
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #379999 ← → #380041

Radix Representation

Decimal 380016
Binary 1011100110001110000 (19 bits)
Octal 0o1346160
Hexadecimal 0x5CC70

Divisor Catalog (5 of 120)

1 2 3 4 6

Collatz Trajectory (223 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.

380,016 190,008 95,004 47,502 23,751

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