λ
Harmonic Matrix

7,253,696

26 × 17 × 59 × 113
Abundant Even Composite

7,253,696 has digital root 2. The neighboring primes are 7253669 and 7253699; its proper-divisor sum differs from the starting integer by 1,128,848.

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Prime Factor Structure

Factorization String 2^6 × 17 × 59 × 113
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 56
Divisor Sum (σ) 15,636,240
Proper Divisor Sum 8,382,544
Digit Sum / Digital Root 38 (Root: 2)
Adjacent Primes #7253669 ← → #7253699

Radix Representation

Decimal 7253696
Binary 11011101010111011000000 (23 bits)
Octal 0o33527300
Hexadecimal 0x6EAEC0

Divisor Catalog (5 of 56)

1 2 4 8 16

Collatz Trajectory (235 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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