λ
Harmonic Matrix

8,736,390

2 × 33 × 5 × 13 × 19 × 131
Abundant Even Composite

8,736,390 has digital root 9. The neighboring primes are 8736367 and 8736401; its proper-divisor sum differs from the starting integer by 9,138,420.

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Prime Factor Structure

Factorization String 2 × 3^3 × 5 × 13 × 19 × 131
Distinct Prime Factors 6
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 128
Divisor Sum (σ) 26,611,200
Proper Divisor Sum 17,874,810
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #8736367 ← → #8736401

Radix Representation

Decimal 8736390
Binary 100001010100111010000110 (24 bits)
Octal 0o41247206
Hexadecimal 0x854E86

Divisor Catalog (5 of 128)

1 2 3 5 6

Collatz Trajectory (212 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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