λ
Harmonic Matrix

9,730,900

22 × 52 × 31 × 43 × 73
Abundant Even Composite

9,730,900 has digital root 1. The neighboring primes are 9730883 and 9730913; its proper-divisor sum differs from the starting integer by 3,147,864.

Prime Factor Structure

Factorization String 2^2 × 5^2 × 31 × 43 × 73
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 72
Divisor Sum (σ) 22,609,664
Proper Divisor Sum 12,878,764
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #9730883 ← → #9730913

Radix Representation

Decimal 9730900
Binary 100101000111101101010100 (24 bits)
Octal 0o45075524
Hexadecimal 0x947B54

Divisor Catalog (60 of 72)

Collatz Trajectory (163 steps to reach 1)

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

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