λ
Harmonic Matrix

9,008,657

7 × 17 × 75703
Deficient Odd Composite

9,008,657 has digital root 8. The neighboring primes are 9008639 and 9008687; its proper-divisor sum differs from the starting integer by -7,115,938.

Prime Factor Structure

Factorization String 7 × 17 × 75703
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 10,901,376
Proper Divisor Sum 1,892,719
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #9008639 ← → #9008687

Radix Representation

Decimal 9008657
Binary 100010010111011000010001 (24 bits)
Octal 0o42273021
Hexadecimal 0x897611

Divisor Catalog (8)

Collatz Trajectory (88 steps to reach 1)

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

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