λ
Harmonic Matrix

1,100,316

22 × 3 × 7 × 13099
Abundant Even Composite

1,100,316 has digital root 3. The neighboring primes are 1100311 and 1100321; its proper-divisor sum differs from the starting integer by 733,768.

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Prime Factor Structure

Factorization String 2^2 × 3 × 7 × 13099
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 2,934,400
Proper Divisor Sum 1,834,084
Digit Sum / Digital Root 12 (Root: 3)
Adjacent Primes #1100311 ← → #1100321

Radix Representation

Decimal 1100316
Binary 100001100101000011100 (21 bits)
Octal 0o4145034
Hexadecimal 0x10CA1C

Divisor Catalog (5 of 24)

1 2 3 4 6

Collatz Trajectory (147 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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