λ
Harmonic Matrix

7,315,026

2 × 3 × 101 × 12071
Abundant Even Composite

7,315,026 has digital root 6. The neighboring primes are 7315013 and 7315027; its proper-divisor sum differs from the starting integer by 146,076.

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Prime Factor Structure

Factorization String 2 × 3 × 101 × 12071
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 14,776,128
Proper Divisor Sum 7,461,102
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #7315013 ← → #7315027

Radix Representation

Decimal 7315026
Binary 11011111001111001010010 (23 bits)
Octal 0o33717122
Hexadecimal 0x6F9E52

Divisor Catalog (5 of 16)

1 2 3 6 101

Collatz Trajectory (204 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.

7,315,026 3,657,513 10,972,540 5,486,270 2,743,135

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