λ
Harmonic Matrix

625,149

32 × 7 × 9923
Deficient Odd Composite

625,149 has digital root 9. The neighboring primes are 625133 and 625169; its proper-divisor sum differs from the starting integer by -218,202.

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Prime Factor Structure

Factorization String 3^2 × 7 × 9923
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 1,032,096
Proper Divisor Sum 406,947
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #625133 ← → #625169

Radix Representation

Decimal 625149
Binary 10011000100111111101 (20 bits)
Octal 0o2304775
Hexadecimal 0x989FD

Divisor Catalog (5 of 12)

1 3 7 9 21

Collatz Trajectory (172 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.

625,149 1,875,448 937,724 468,862 234,431

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