λ
Harmonic Matrix

1,117,398

2 × 3 × 43 × 61 × 71
Abundant Even Composite

1,117,398 has digital root 3. The neighboring primes are 1117379 and 1117433; its proper-divisor sum differs from the starting integer by 122,196.

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Prime Factor Structure

Factorization String 2 × 3 × 43 × 61 × 71
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 2,356,992
Proper Divisor Sum 1,239,594
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #1117379 ← → #1117433

Radix Representation

Decimal 1117398
Binary 100010000110011010110 (21 bits)
Octal 0o4206326
Hexadecimal 0x110CD6

Divisor Catalog (5 of 32)

1 2 3 6 43

Collatz Trajectory (121 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.

1,117,398 558,699 1,676,098 838,049 2,514,148

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