λ
Harmonic Matrix

8,804,312

23 × 11 × 100049
Abundant Even Composite

8,804,312 has digital root 8. The neighboring primes are 8804303 and 8804321; its proper-divisor sum differs from the starting integer by 400,376.

Prime Factor Structure

Factorization String 2^3 × 11 × 100049
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 18,009,000
Proper Divisor Sum 9,204,688
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #8804303 ← → #8804321

Radix Representation

Decimal 8804312
Binary 100001100101011111011000 (24 bits)
Octal 0o41453730
Hexadecimal 0x8657D8

Divisor Catalog (16)

Collatz Trajectory (181 steps to reach 1)

Iterative sequence n → n/2 (if even) or 3n+1 (if odd):

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