λ
Harmonic Matrix

1,016,232

23 × 3 × 7 × 23 × 263
Abundant Even Composite

1,016,232 has digital root 6. The neighboring primes are 1016231 and 1016237; its proper-divisor sum differs from the starting integer by 1,008,816.

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Prime Factor Structure

Factorization String 2^3 × 3 × 7 × 23 × 263
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 3,041,280
Proper Divisor Sum 2,025,048
Digit Sum / Digital Root 15 (Root: 6)
Adjacent Primes #1016231 ← → #1016237

Radix Representation

Decimal 1016232
Binary 11111000000110101000 (20 bits)
Octal 0o3700650
Hexadecimal 0xF81A8

Divisor Catalog (5 of 64)

1 2 3 4 6

Collatz Trajectory (152 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.

1,016,232 508,116 254,058 127,029 381,088

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