λ
Harmonic Matrix

6,115,088

24 × 7 × 71 × 769
Abundant Even Composite

6,115,088 has digital root 2. The neighboring primes are 6115069 and 6115097; its proper-divisor sum differs from the starting integer by 1,518,944.

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Prime Factor Structure

Factorization String 2^4 × 7 × 71 × 769
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 13,749,120
Proper Divisor Sum 7,634,032
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #6115069 ← → #6115097

Radix Representation

Decimal 6115088
Binary 10111010100111100010000 (23 bits)
Octal 0o27247420
Hexadecimal 0x5D4F10

Divisor Catalog (5 of 40)

1 2 4 7 8

Collatz Trajectory (108 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.

6,115,088 3,057,544 1,528,772 764,386 382,193

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