λ
Harmonic Matrix

9,455,625

32 × 54 × 412
Deficient Odd Composite Square (√ = 3075)

9,455,625 has digital root 9. The neighboring primes are 9455623 and 9455681; its proper-divisor sum differs from the starting integer by -1,417,631.

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Prime Factor Structure

Factorization String 3^2 × 5^4 × 41^2
Distinct Prime Factors 3
Square Status Yes (√9455625 = 3075)
Abundance Measure Deficient

Analytical Properties

Total Divisors 45
Divisor Sum (σ) 17,493,619
Proper Divisor Sum 8,037,994
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #9455623 ← → #9455681

Radix Representation

Decimal 9455625
Binary 100100000100100000001001 (24 bits)
Octal 0o44044011
Hexadecimal 0x904809

Divisor Catalog (5 of 45)

1 3 5 9 15

Collatz Trajectory (124 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.

9,455,625 28,366,876 14,183,438 7,091,719 21,275,158

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