λ
Harmonic Matrix

747,756

22 × 32 × 20771
Abundant Even Composite

747,756 has digital root 9. The neighboring primes are 747743 and 747763; its proper-divisor sum differs from the starting integer by 394,740.

Prime Factor Structure

Factorization String 2^2 × 3^2 × 20771
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 18
Divisor Sum (σ) 1,890,252
Proper Divisor Sum 1,142,496
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #747743 ← → #747763

Radix Representation

Decimal 747756
Binary 10110110100011101100 (20 bits)
Octal 0o2664354
Hexadecimal 0xB68EC

Divisor Catalog (18)

Collatz Trajectory (74 steps to reach 1)

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

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