λ
Harmonic Matrix

7,313,172

22 × 3 × 23 × 26497
Abundant Even Composite

7,313,172 has digital root 6. The neighboring primes are 7313167 and 7313183; its proper-divisor sum differs from the starting integer by 3,180,312.

Prime Factor Structure

Factorization String 2^2 × 3 × 23 × 26497
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 17,806,656
Proper Divisor Sum 10,493,484
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #7313167 ← → #7313183

Radix Representation

Decimal 7313172
Binary 11011111001011100010100 (23 bits)
Octal 0o33713424
Hexadecimal 0x6F9714

Divisor Catalog (24)

Collatz Trajectory (41 steps to reach 1)

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

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