λ
Harmonic Matrix

561,625

53 × 4493
Deficient Odd Composite

561,625 has digital root 7. The neighboring primes are 561607 and 561667; its proper-divisor sum differs from the starting integer by -422,186.

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Prime Factor Structure

Factorization String 5^3 × 4493
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 701,064
Proper Divisor Sum 139,439
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #561607 ← → #561667

Radix Representation

Decimal 561625
Binary 10001001000111011001 (20 bits)
Octal 0o2110731
Hexadecimal 0x891D9

Divisor Catalog (5 of 8)

1 5 25 125 4,493

Collatz Trajectory (146 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.

561,625 1,684,876 842,438 421,219 1,263,658

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