λ
Harmonic Matrix

1,025,137

1025137
Deficient Odd Prime

1,025,137 has digital root 1. The neighboring primes are 1025119 and 1025147; its proper-divisor sum differs from the starting integer by -1,025,136.

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Prime Factor Structure

Factorization String 1025137
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 1,025,138
Proper Divisor Sum 1
Digit Sum / Digital Root 19 (Root: 1)
Adjacent Primes #1025119 ← → #1025147

Radix Representation

Decimal 1025137
Binary 11111010010001110001 (20 bits)
Octal 0o3722161
Hexadecimal 0xFA471

Divisor Catalog (2)

Collatz Trajectory (51 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.

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