λ
Harmonic Matrix

7,260,168

23 × 3 × 302507
Abundant Even Composite

7,260,168 has digital root 3. The neighboring primes are 7260133 and 7260181; its proper-divisor sum differs from the starting integer by 3,630,144.

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Prime Factor Structure

Factorization String 2^3 × 3 × 302507
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 18,150,480
Proper Divisor Sum 10,890,312
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #7260133 ← → #7260181

Radix Representation

Decimal 7260168
Binary 11011101100100000001000 (23 bits)
Octal 0o33544010
Hexadecimal 0x6EC808

Divisor Catalog (5 of 16)

1 2 3 4 6

Collatz Trajectory (67 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.

7,260,168 3,630,084 1,815,042 907,521 2,722,564

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