λ
Harmonic Matrix

7,429,368

23 × 3 × 23 × 43 × 313
Abundant Even Composite

7,429,368 has digital root 3. The neighboring primes are 7429363 and 7429379; its proper-divisor sum differs from the starting integer by 5,036,304.

Prime Factor Structure

Factorization String 2^3 × 3 × 23 × 43 × 313
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 19,895,040
Proper Divisor Sum 12,465,672
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #7429363 ← → #7429379

Radix Representation

Decimal 7429368
Binary 11100010101110011111000 (23 bits)
Octal 0o34256370
Hexadecimal 0x715CF8

Divisor Catalog (60 of 64)

Collatz Trajectory (160 steps to reach 1)

Iterative sequence n → n/2 (if even) or 3n+1 (if odd):

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