λ
Harmonic Matrix

8,029,376

26 × 109 × 1151
Abundant Even Composite

8,029,376 has digital root 8. The neighboring primes are 8029363 and 8029391; its proper-divisor sum differs from the starting integer by 34,688.

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Prime Factor Structure

Factorization String 2^6 × 109 × 1151
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 28
Divisor Sum (σ) 16,093,440
Proper Divisor Sum 8,064,064
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #8029363 ← → #8029391

Radix Representation

Decimal 8029376
Binary 11110101000010011000000 (23 bits)
Octal 0o36502300
Hexadecimal 0x7A84C0

Divisor Catalog (5 of 28)

1 2 4 8 16

Collatz Trajectory (137 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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