λ
Harmonic Matrix

9,117,784

23 × 13 × 87671
Abundant Even Composite

9,117,784 has digital root 1. The neighboring primes are 9117781 and 9117809; its proper-divisor sum differs from the starting integer by 175,552.

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Prime Factor Structure

Factorization String 2^3 × 13 × 87671
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 18,411,120
Proper Divisor Sum 9,293,336
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #9117781 ← → #9117809

Radix Representation

Decimal 9117784
Binary 100010110010000001011000 (24 bits)
Octal 0o42620130
Hexadecimal 0x8B2058

Divisor Catalog (5 of 16)

1 2 4 8 13

Collatz Trajectory (106 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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