λ
Harmonic Matrix

9,408,815

5 × 13 × 144751
Deficient Odd Composite

9,408,815 has digital root 8. The neighboring primes are 9408809 and 9408827; its proper-divisor sum differs from the starting integer by -6,658,462.

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Prime Factor Structure

Factorization String 5 × 13 × 144751
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 12,159,168
Proper Divisor Sum 2,750,353
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #9408809 ← → #9408827

Radix Representation

Decimal 9408815
Binary 100011111001000100101111 (24 bits)
Octal 0o43710457
Hexadecimal 0x8F912F

Divisor Catalog (5 of 8)

1 5 13 65 144,751

Collatz Trajectory (176 steps to reach 1)

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

Showing the first 5 trajectory entries; the stopping-time total above is unchanged.

9,408,815 28,226,446 14,113,223 42,339,670 21,169,835

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